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Probability MCQ Questions & Answers

Probability MCQs : This section focuses on the "Probability". These Multiple Choice Questions (MCQs) should be practiced to improve the Probability skills required for various interviews (campus interview, walk-in interview, company interview), placement, entrance exam and other competitive examinations.




Question 1

Which of the following is not a correct statement about a probability.

A. A value near 0 means that the event is not likely to occur/happens
B. It can be reported as a decimal or a fraction
C. It must have a value between 0 and 1
D. It is the collection of several experiments

View Answer

Question 2

In a lottery, there are 10 prizes and 25 blanks. A lottery is drawn at random. What is the probability of getting a prize?

A. 1/10
B. 2/5
C. 2/7
D. 5/7

View Answer

Question 3

Two dice are rolled simultaneously. Find the probability of getting the sum of numbers on the on the two faces divisible by 3 or 4?

A. 3/7
B. 7/11
C. 5/9
D. 6/13

View Answer

Question 4

The probability of occurance of two two events A and B are 1/4 and 1/2 respectively. The probability of their simultaneous occurrance is 7/50. Find the probability that neither A nor B occurs.

A. 25/99
B. 39/100
C. 61/100
D. 17/100

View Answer

Question 5

Find the standard deviation of {11, 7, 10,13, 9}

A. 1
B. 2
C. 4
D. 5

View Answer

Question 6

What is the probability that a number is divisible by 4?

A. 2
B. 1/2
C. 1/4
D. 1

View Answer

Question 7

In a simultaneous throw of two dice, what is the probability of getting a total of 7 ?

A. 1/6
B. 1/4
C. 1/20
D. 3/4

View Answer

Question 8

In a single throw with 2 dices, what is probability of neither getting an even number on one and nor a multiple of 3 on other?

A. 11/36
B. 25/36
C. 5/6
D. 1/6

View Answer

Question 9

From a pack of 52 cards, 3 cards are drawn. What is the probability that one is ace, one is queen and one is jack?

A. 19/5525
B. 16/5525
C. 17/5525
D. 7/5525

View Answer

Question 10

If p:q are the odds in favour of an event,then the probability of that event is:

A. p/q
B. p/(p+q)
C. q/(p+q)
D. none

View Answer

Question 11

One card is drawn from deck of 52 cards, each of the 52 cards being equally likely to be drawn. Find the probability that the ball drawn is red.

A. 1/3
B. 1/2
C. 1/4
D. 1/6

View Answer

Question 12

What is the probability that a leap year selected at random, will contain 53 sundays?

A. 1/7
B. 1/3
C. 2/7
D. 4/7

View Answer

Question 13

From a pack of 52 cards, two cards are drawn together at random. What is the probability of both the cards being kings?

A. 1/15
B. 1/221
C. 25/57
D. 35/256

View Answer

Question 14

A bag contains 2 red, 3 green and 2 blue balls. Two balls are drawn at random. What is the probability that none of the balls drawn is blue?

A. 10/11
B. 11/21
C. 2/7
D. 5/7

View Answer

Question 15

A number is selected at random from the numbers 1 to 30. What is the probability that it is divisible by either 3 or 7 ?

A. 1/30
B. 2/30
C. 1/25
D. 1/2

View Answer

Question 16

The probability that a card drawn at random from the pack of playing cards may be either a queen or an ace is:

A. 9/13
B. 11/13
C. 2/13
D. None of these

View Answer

Question 17

The probabiltiy that throw of two dice yields a total of 5 or 6 is:

A. 2/14
B. 5/18
C. 3/4
D. 1/4

View Answer

Question 18

In a class, there are 15 boys and 10 girls. Three students are selected at random. The probability that 1 girl and 2 boys are selected, is:

A. 21/46
B. 1/5
C. 3/25
D. 1/50

View Answer

Question 19

A number is selected from the numbers 1,2,3,4.......25.The probability for it to be divisible by 4 or 7 is:

A. 3/25
B. 9/25
C. 1/25
D. None of these

View Answer

Question 20

Three unbiased coins are tossed. What is the probability of getting at most two heads?

A. 3/4
B. 7/8
C. 1/2
D. 1/4

View Answer

Question 21

A problem is given to three students whose chances of solving it are 1/2, 1/3 and 1/4 respectively. What is the probability that the problem will be solved?

A. 1/4
B. 1/2
C. 3/4
D. 7/12

View Answer

Question 22

Binomial distribution is symmetrical when

A. p = q
B. p > q
C. p < q
D. np > npq

View Answer

Question 23

In a box, there are 8 red, 7 blue and 6 green balls. One ball is picked up randomly. What is the probability that it is neither red nor green?

A. 1/3
B. 3/5
C. 8/21
D. 7/21

View Answer

Question 24

What is the probability that a leap year has 53 Saturdays and 52 Sundays ?

A. 1/7
B. 2/7
C. 1/2
D. 3/2

View Answer

Question 25

The probability function is always

A. Negative
B. Non Negative
C. Positive
D. None of these

View Answer

Question 26

A bag contains 3 red balls, 5 yellow balls and 7 pink balls. If one ball is drawn at random from the bag, what is the probability that it is either pink or red?

A. 2/3
B. 1/8
C. 3/8
D. 3/4

View Answer

Question 27

Tickets numbered 1 to 20 are mixed up and then a ticket is drawn at random. What is the probability that the ticket drawn has a number which is a multiple of 3 or 5 ?

A. 2/3
B. 1/2
C. 7/8
D. 4/5

View Answer

Question 28

Which of the following questions is a statistical question?

A. Where do the professional sports leagues play?
B. How many professional sports leagues are there?
C. How many hours do the student-athletes at your school spend each week training for a sports league?
D. How many hours of professional training took place over the weekend?

View Answer

Question 29

If the occurrence of one event means that another cannot happen, then the events are

A. Bayesian
B. Empirical
C. Independent
D. Mutually Exclusive

View Answer

Question 30

If a card is drawn at random from a pack of 52 cards,what is the chance of getting a spade or ace?

A. 0.25
B. 5/13
C. 0.2
D. 4/13

View Answer

Question 31

In a box, there are four marbles of white color and five marbles of black color. Two marbles are chosen randomly. What is the probability that both are of the same color?

A. 2/9
B. 5/9
C. 4/9
D. 0

View Answer

Question 32

What is the probability that a couple with four children have atleast one girl?

A. 0.0625
B. 0.9375
C. 0.5
D. 0.0257

View Answer

Question 33

In a class, 30% of the students offered English, 20% offered Hindi and 10% offered both. If a student is selected at random, what is the probability that he. has offered English or Hindi ?

A. 1/2
B. 3/4
C. 4/5
D. 2/5

View Answer

Question 34

A coin is tossed 5 times. What is the probability that head appears an odd number of times?

A. 1/2
B. 1/3
C. 2/3
D. 1

View Answer

Question 35

The probabilities that drivers A, B and C will drive home safely after consuming liquor are 2 / 5, 3 / 7 and 3 / 4, respectively. What is the probability that they will drive home safely after consuming liquor ?

A. 3/70
B. 4/70
C. 9/70
D. 1/50

View Answer

Question 36

Probability of occurrence of an event lies between

A. 0 and 1
B. -1 and 0
C. -1 and 1
D. exactly 1

View Answer

Question 37

The probability that a number selected at random from the first 100 natural numbers is a composite number is  ?

A. 3/2
B. 2/3
C. 1/2
D. 34/7

View Answer

Question 38

There are 10 Letters and 10 correspondingly 10 different Address. If the letter are put into envelope randomly, then find the Probability that Exactly 9 letters will at the Correct Address ?

A. 1/10
B. 1/9
C. 1
D. 0

View Answer

Question 39

There are 26 balls marked with alphabetical order A to Z. What is the probability of selecting vowels listed balls?

A. 1
B. 21/26
C. 5/26
D. 5

View Answer

Question 40

Three unbiased coins are tossed. What is the probability of getting at most two heads?

A. 3/4
B. 1/4
C. 3/8
D. 7/8

View Answer

Question 41

Out of 3 girls and 6 boys a group of three members is to be formed in such a way that at least one member is a girl. In how many different ways can it be done?

A. 64
B. 84
C. 56
D. 20

View Answer

Question 42

From well shuffled standard pack of 52 playing cards,one card is drawn. What is the probability that it is either a red card or black card?

A. 1/2
B. 3/4
C. 1
D. 1/3

View Answer

Question 43

Four dice are thrown simultaneously. Find the probability that two of them show the same face and remaining two show the different faces.

A. 4/9
B. 5/9
C. 11/18
D. 7/9

View Answer

Question 44

A bag contains 5 red smileys, 6 yellow smileys and 3 green smileys. If two smileys are picked at random, what is the probability that both are red or both are green in colour?

A. 7
B. 1/7
C. 3/7
D. 0

View Answer

Question 45

Two brother X and Y appeared for an exam. The probability of selection of X is 1/7 and that of B is 2/9. Find the probability that both of them are selected.

A. 1/63
B. 1/14
C. 2/63
D. 1/9

View Answer

Question 46

Find the range of the data 2, 1, 2, 3, 5, 4, 7, 3, 5, 2, 4.

A. 5
B. 4
C. 3
D. 6

View Answer

Question 47

Two cards are drawn at random from a well - shuffled pack of 52 cards. what is the probability that either both are red or both are queens?

A. 17/112
B. 55/221
C. 55/121
D. 33/221

View Answer

Question 48

A number X is chosen at random from the numbers -3, -2, -1, 0, 1, 2, 3. What is the probability that |X|<2

A. 3/7
B. 3/4
C. 4/5
D. 5/7

View Answer

Question 49

A box contains 5 detective and 15 non-detective bulbs. Two bulbs are chosen at random. Find the probability that both the bulbs are non-defective.

A. 5/19
B. 3/20
C. 21/38
D. None of these

View Answer

Question 50

Out of 17 applicants 8 boys and 9 girls. Two persons are to be selected for the job. Find the probability that at least one of the selected persons will be a girl.

A. 19/34
B. 5/4
C. 20/34
D. 25/34

View Answer

Question 51

A card is drawn from a pack of 52 cards. The probability of getting a queen of club or a king of heart is:

A. 1/13
B. 2/13
C. 1/26
D. 1/52

View Answer

Question 52

A three-digit number is formed with the digits 1, 2, 3, 4, 5 at random. What is probability that number formed is divisible by 5 ?

A. 1/4
B. 1/5
C. 1/2
D. 3/4

View Answer

Question 53

A table tennis player, lost 12 games out of 18 games played. Calculate the games won in terms of decimal.

A. 0.667
B. 0.067
C. 0.5
D. 0.333

View Answer

Question 54

Tickets numbered 1 to 20 are mixed up and then a ticket is drawn at random. What is the probability that the ticket drawn has a number which is a multiple of 3 or 5?

A. 1/2
B. 2/5
C. 8/15
D. 9/20

View Answer

Question 55

The successive trials are with replacement in

A. Geometric distribution
B. Binomial distribution
C. Hypergeometric distribution
D. None of above

View Answer

Question 56

In a purse there are 30 coins, twenty one-rupee and remaining 50-paise coins. Eleven coins are picked simultaneously at random and are placed in a box. If a coin is now picked from the box, find the probability of it being a rupee coin?

A. 4/7
B. 2/3
C. 1/2
D. 5/6

View Answer

Question 57

A bag contains 6 black and 8 white balls. One ball is drawn at random. What is the probability that the ball drawn is white?

A. 3/7
B. 4/7
C. 1/8
D. 3/4

View Answer

Question 58

In a box, there are 9 blue, 6 white and some black stones. A stone is randomly selected and the probability that the stone is black is ¼. Find the total number of stones in the box?

A. 15
B. 18
C. 20
D. 24

View Answer

Question 59

In a party there are 5 couples. Out of them 5 people are chosen at random. Find the probability that there are at the least two couples ?

A. 6/7
B. 19/21
C. 7/31
D. 5/21

View Answer

Question 60

A bag contains 6 white and 4 black balls .2 balls are drawn at random. Find the probability that they are of same colour.

A. 1/2
B. 7/15
C. 8/15
D. 1/9

View Answer

Question 61

A brother and a sister appear for an interview against two vacant posts in an office. The probability of the brother’s selection is 1/5 and that of the sister’s selection is 1/3. What is the probability that only one of them is selected?

A. 1/5
B. 3/4
C. 2/5
D. 3/5

View Answer

Question 62

Out of first 20 natural numbers, one number is selected at random. The probability that it is either an even number or a prime number is  ?

A. 16/19
B. 1
C. 3/2
D. 17/20

View Answer

Question 63

In special rule of addition of probability, the events are always

A. Bayesian
B. Empirical
C. Independent events
D. Mutually Exclusive events

View Answer

Question 64

From a pack of 52 cards, two cards are drawn together at random. What is the probability of both the cards being kings?

A. 1/15
B. 25/57
C. 35/256
D. 1/221

View Answer

Question 65

A box contains 10 bulbs,of which just three are defective. If a random sample of five bulbs is drawn, find the probability that the sample contains exactly one defective bulb.

A. 5/12
B. 7/12
C. 3/14
D. 1/12

View Answer

Question 66

A bag contains 4 white, 5 red and 6 blue balls. Three balls are drawn at random from the bag. The probability that all of them are red, is:

A. 1/22
B. 3/22
C. 2/91
D. 2/77

View Answer

Question 67

Three unbiased coins are tossed.What is the probability of getting at least 2 heads?

A. 1/4
B. 1/2
C. 3/4
D. 1/3

View Answer

Question 68

If two dice are thrown together, the probability of getting an even number on one die and an odd number on the other is  ?

A. 1
B. 1/2
C. 0
D. 3/5

View Answer

Question 69

A card is drawn from a pack of 52 cards. The probability of getting a queen of the club or a king of the heart is?

A. 1/26
B. 1/13
C. 2/13
D. 1/52

View Answer

Question 70

A basket contains 10 apples and 20 oranges out of which 3 apples and 5 oranges are defective. If we choose two fruits at random, what is the probability that either both are oranges or both are non defective?

A. 136/345
B. 17/87
C. 316/435
D. 158/435

View Answer

Question 71

If the standard deviation of a population is 4.5, what would be the population variance?

A. 20.25
B. 20
C. 9
D. 18

View Answer

Question 72

A speaks truth in 75% of cases and B in 80% of cases. In what percentage of cases are they likely to contradict each other, narrating the same incident

A. 30/100
B. 35/100
C. 45/100
D. 50/100

View Answer

Question 73

Tickets numbered 1 to 20 are mixed up and then a ticket is drawn at random. What is the probability that the ticket drawn has a number which is a multiple of 3 or 5?

A. 1/2
B. 3/5
C. 9/20
D. 8/15

View Answer

Question 74

An unbiased die is rolled. Find the probability of getting a multiple of 3?

A. 1/6
B. 1/3
C. 5/6
D. None of these

View Answer

Question 75

The mean of the data 2, 9, 9, 3, 6, 9, 4 is

A. 33/7
B. 6
C. 43/7
D. 7

View Answer

Question 76

Find the range and mode of the data 17, 18, 28, 19, 16, 18, 17, 29, 18

A. 12 and 18
B. 13 and 18
C. 12 and 17
D. 11 and 17

View Answer

Question 77

A bag contains 50 tickets numbered 1,2,3,4......50 of which five are drawn at random and arranged in ascending order of magnitude.Find the probability that third drawn ticket is equal to 30.

A. 551/15134
B. 1/2
C. 552/15379
D. 1/9

View Answer

Question 78

If the standard deviation of a population is 7, what would be the population variance?

A. 14
B. 21
C. 49
D. 28

View Answer

Question 79

In a lottery, there are 10 prizes and 25 blanks. A lottery is drawn at random. What is the probability of getting a prize?

A. 2/7
B. 5/7
C. 1/5
D. 1/2

View Answer

Question 80

In a bag which contains 40 balls, there are 18 red balls and some green and blue balls. If two balls are picked up from the bag without replacement, then the probability of the first ball being red and second being green is 3/26. Find the number of blue balls in the bag.

A. 16
B. 12
C. 10
D. 14

View Answer

Question 81

Tickets are numbered from 1 to 18 are mixed up together and then 9 tickets are drawn at random. Find the probability that the ticket has a number, which is a multiple of 2 or 3.

A. 1/3
B. 3/5
C. 2/3
D. 5/6

View Answer

Question 82

Which of the following is not an example of a discrete probability distribution?

A. The number of bathrooms in a house
B. The sale or purchase price of a house
C. The number of bedrooms in a house
D. Whether or not a home has a swimming pool in it

View Answer

Question 83

There are four hotels in a town. If 3 men check into the hotels in a day then what is the probability that each checks into a different hotel?

A. 1/2
B. 3/4
C. 4/7
D. 3/8

View Answer

Question 84

8 couples (husband and wife) attend a dance show "Nach Baliye' in a popular TV channel ; A lucky draw in which 4 persons picked up for a prize is held, then the probability that there is atleast one couple will be selected is :

A. 8/39
B. 15/39
C. 12/13
D. None of these

View Answer

Question 85

The mean of a distribution is 18 and the standard deviation is 4.5. What is the value of the coefficient of variation?

A. 50%
B. 25%
C. 100%
D. 75%

View Answer

Question 86

14 persons are seated around a circular table. Find the probability that 3 particular persons always seated together.

A. 11/379
B. 21/628
C. 24/625
D. 26/247

View Answer

Question 87

You toss a coin AND roll a die. What is the probability of getting a tail and a 4 on the die?

A. 1/2
B. 1/12
C. 2/3
D. 3/4

View Answer

Question 88

A bag contains 4 red and 3 black balls. A second bag contains 2 red and 4 black balls. One bag is selected at random. From the selected bag, one ball is drawn. Find the probability that the ball drawn is red.

A. 23/42
B. 19/42
C. 7/32
D. 16/39

View Answer

Question 89

Four dice are thrown simultaneously. Find the probability that all of them show the same face.

A. 1/216
B. 1/36
C. 2/216
D. 4/216

View Answer

Question 90

A speaks truth in 75% cases and B in 80% of the cases. In what percentage of cases are they likely to contradict each other, in narrating the same incident ?

A. 5%
B. 15%
C. 35%
D. 45%

View Answer

Question 91

Which of the following is not the property of binomial distribution

A. N is fixed
B. Has two outcomes
C. Trials are independent
D. Probability of success varies from trial to trial

View Answer

Question 92

Tickets numbered 1 to 20 are mixed up and then a ticket is drawn at random. What is the probability that the ticket drawn has a number which is a multiple of 4 or 15 ?

A. 6/19
B. 3/10
C. 7/10
D. 6/17

View Answer

Question 93

A bag contains 8 red and 4 green balls. Find the probability that two balls are red and one ball is green when three balls are drawn at random.

A. 56/99
B. 112/495
C. 78/495
D. None of these

View Answer

Question 94

The probability that a card drawn from a pack of 52 cards will be a diamond or a king, is

A. 5/12
B. 4/13
C. 5/13
D. 3/14

View Answer

Question 95

Find the probability that it is either white or red ball when,one ball is drawn at random in a bag that contains 3 black,4 white and 5 red balls

A. 0.5
B. 0.75
C. 0.25
D. 0.8

View Answer

Question 96

In a race, the odd favour of cars P,Q,R,S are 1:3, 1:4, 1:5 and 1:6 respectively. Find the probability that one of them wins the race.

A. 319/420
B. 27/111
C. 114/121
D. 231/420

View Answer

Question 97

What is the probability of an impossible event?

A. 0
B. -1
C. 0.1
D. 1

View Answer

Question 98

The distribution function F(X) is represented by

A. P(X)
B. P(X = x)
C. P(X > x)
D. P(X ≤ x)

View Answer

Question 99

Three fair coins are tossed simultaneously. Find the probability of getting more heads than the number of tails

A. 2
B. 7/8
C. 5/8
D. 1/2

View Answer

Question 100

If an unbiased dice is rolled once, the odds in favour of getting a point which is multiple of 3 is:

A. 1/2
B. 2/1
C. 1/3
D. 3/1

View Answer

Question 101

Two dice are rolled simultaneously. Find the probability of getting a total of 9.

A. 1/3
B. 1/9
C. 8/9
D. 9/10

View Answer

Question 102

Ajay and his wife Reshmi appear in an interview for two vaccancies in the same post. The Probability of Ajay's selection is 1/7 and that of his wife Reshmi's selection is 1/5. What is the probability that only one of them will be selected?

A. 5/7
B. 1/5
C. 2/7
D. 2/35

View Answer

Question 103

The probability that z lies between 0 and 3.01

A. 0.4987
B. 0.5
C. 0.9987
D. 0.1217

View Answer

Question 104

A speaks truth in 75% of cases and B in 80% of cases. In what percent of cases are they likely to contradict each other in narrating the same event?

A. 35%
B. 5%
C. 45%
D. 22.50%

View Answer

Question 105

If two letters are taken at random from the word HOME, what is the probability that none of the letters would be vowels?

A. 1/6
B. 1/2
C. 1/3
D. 1/4

View Answer

Question 106

In which distribution successive trials are without replacement

A. Poisson distribution
B. Binomial distribution
C. Geometric distribution
D. Hypergeometric distribution

View Answer

Question 107

The probabilities that A and B will tell the truth are 2 / 3 and 4 / 5 respectively . What is the probability that they agree with each other ?

A. 3/5
B. 1/3
C. 2/5
D. 3/4

View Answer

Question 108

Two unbiased coin are tossed. What is the probability of getting atmost one head?

A. 1/2
B. 3/2
C. 1/6
D. 3/4

View Answer

Question 109

Three dice are thrown together.Find the probability of getting a total of atleast 6.

A. 103/216
B. 103/108
C. 103/36
D. 36/103

View Answer

Question 110

An unbiased die is tossed.Find the probability of getting a multiple of 3.

A. 1/3
B. 1/2
C. 3/4
D. 3/2

View Answer

Question 111

Find the probability that one ball is white when two balls are drawn at random from a basket that contains 9 red, 7 white and 4 black balls.

A. 18/95
B. 18/190
C. 1/2
D. 91/190

View Answer

Question 112

The variance of binomial distribution is always

A. Less than mean
B. Equal to mean
C. Greater than mean
D. Equal to standard deviation

View Answer

Question 113

In a class, there are 15 boys and 10 girls. Three students are selected at random. The probability that 1 girl and 2 boys are selected, is:

A. 21/42
B. 25/117
C. 1/50
D. 3/25

View Answer

Question 114

One card is drawn at random from a pack of 52 cards. What is the probability that the card drawn is a face card (Jack, Queen and King only)?

A. 3/13
B. 1/13
C. 3/52
D. 9/52

View Answer

Question 115

Two dice are thrown simultaneously. What is the probability of getting two numbers whose product is even?

A. 3/4
B. 3/8
C. 5/16
D. 2/7

View Answer

Question 116

What is the probability of getting at least one six in a single throw of three unbiased dice?

A. 1/36
B. 91/256
C. 13/256
D. 43/256

View Answer

Question 117

A letter is takenout at random from 'ASSISTANT'  and another is taken out from 'STATISTICS'. The probability that they are the same letter is :

A. 35/96
B. 19/90
C. 19/96
D. None of these

View Answer

Question 118

In a box, there are 8 red, 7 blue and 6 green balls. One ball is picked up randomly. What is the probability that it is neither red nor green?

A. 1/3
B. 3/4
C. 7/19
D. 8/21

View Answer

Question 119

The probability of success of three students X, Y and Z in the one examination are 1/5, 1/4 and 1/3 respectively. Find the probability of success of at least two.

A. 1/4
B. 1/2
C. 1/6
D. 1/3

View Answer

Question 120

Find the median, mode and mean of 9, 5, 8, 9, 9, 7, 8, 9, 8.

A. 9, 9, 9
B. 9, 8, 9
C. 8, 9, 8
D. 8, 9, 9

View Answer

Question 121

A discrete probability distribution may be represented by

A. A table
B. A graph
C. A mathematical Equation
D. All of these

View Answer

Question 122

A room contains 3 brown, 5 black and 4 white chairs. Two chairs are picked and are put in the lawn. What is the probability that none of the chairs picked is white ?

A. 14/33
B. 14/55
C. 12/55
D. 13/33

View Answer

Question 123

Find the probability of selecting exactly 2 children when four persons are choosen at random from a group of 3 men, 2 woman and 4 children.

A. 9/29
B. 10/21
C. 12/21
D. 14/19

View Answer

Question 124

Two dice are thrown simultaneously. What is the probability of getting two numbers whose product is even?

A. 1/2
B. 3/4
C. 3/8
D. 5/16

View Answer

Question 125

When two dice are thrown simultaneously, what is the probability that the sum of the two numbers that turn up is less than 12?

A. 35/36
B. 17/36
C. 15/36
D. 1/36

View Answer

Question 126

A box contains 100 balls, numbered from 1 to 100. If three balls are selected at random and with replacement from the box, what is the probability that the sum of the three numbers on the balls selected from the box will be odd?

A. 1/6
B. 1/3
C. 1/2
D. 1/4

View Answer

Question 127

Two dice are tossed. The probability that the total score is a prime number is:

A. 1/6
B. 5/12
C. 1/2
D. 7/9

View Answer

Question 128

If x is chosen at random from the set {1,2,3,4} and y is to be chosen at random from the set {5,6,7}, what is the probability that xy will be even?

A. 1/2
B. 2/3
C. 3/4
D. 4/3

View Answer

Question 129

In a simultaneous throw of pair of dice. Find the probability of getting the total more than 7.

A. 1/2
B. 5/12
C. 7/15
D. 3/12

View Answer

Question 130

The probability of success changes from trial to trial in

A. Sampling distribution
B. Binomial distribution
C. Hypergeometric distribution
D. Geometric distribution

View Answer

Question 131

Consider 5 independent Bernoulli’s trials each with probability of success p. If the probability of at least one failure is greater than or equal to 31/32 , then p lies in the interval ?

A. [1, 32]
B. (0, 1)
C. [1, 1/2]
D. (1, 1/2]

View Answer

Question 132

An urn contains 4 white 6 black and 8 red balls . If 3 balls are drawn one by one without replacement, find the probability of getting all white balls.

A. 5/204
B. 1/204
C. 13/204
D. None of these

View Answer

Question 133

A bag contains 7 green and 5 black balls. Three balls are drawn one after the other. The probability of all three balls being green, if the balls drawn are not replaced will be:

A. 123/897
B. 23/67
C. 7/44
D. 12/45

View Answer

Question 134

Two dice are tossed. The probability that the total score is a prime number is :

A. 1/6
B. 1/2
C. 5/12
D. 3/4

View Answer

Question 135

What is the probability of getting a sum 9 from two throws of a dice ?

A. 1/6
B. 1/2
C. 1/9
D. 3/4

View Answer

Question 136

One lady has 2 children, one of her child is boy, what is the probability of having both are boys ?

A. 1/3
B. 1/2
C. 2/3
D. 2/5

View Answer

Question 137

A fair coin is tossed 11 times. What is the probability that only the first two tosses will yield heads ?

A. (1/2)^11
B. (9)(1/2)
C. (11C2)(1/2)^9
D. (1/2)

View Answer

Question 138

For a random variable X, E(X) is

A. Harmonic Mean (HM)
B. Geometric Mean (GM)
C. Arithmetic Mean (AM)
D. None of these

View Answer

Question 139

What is the probabiltiy of getting a mutliple of 2 or 5 when an unbiased cubic die is thrown?

A. 1/3
B. 1/2
C. 2/3
D. 1/6

View Answer

Question 140

One card is drawn from a pack of 52 cards , each of the 52 cards being equally likely to be drawn. Find the probability that the card  drawn is neither a spade nor a king.

A. 0
B. 9/13
C. 1/2
D. 4/13

View Answer

Question 141

The letters of the word CASTIGATION is arranged in different ways randomly. What is the chance that vowels occupy the even places ?

A. 0.04
B. 0.043
C. 0.047
D. 0.05

View Answer

Question 142

Binomial distribution has parameters

A. 1
B. 2
C. 3
D. 4

View Answer

Question 143

In which approach to probability the outcomes are equally likely to occur?

A. Classical Probability
B. Subjective Probability
C. Relative Frequency
D. Independent

View Answer

Question 144

Each trial in Binomial distribution has

A. One Outcome
B. Two Outcome
C. Three Outcome
D. Four Outcome

View Answer

Question 145

Three unbiased coins are tossed. What is the probability of getting at most two heads ?

A. 4/3
B. 2/3
C. 3/2
D. 3/4

View Answer

Question 146

A five digit number is formed with the digits 0,1,2,3 and 4 without repetition. Find the chance that the number is divisible by 5.

A. 3/5
B. 1/5
C. 2/5
D. 4/5

View Answer

Question 147

A bag contains 3 black, 4 white and 5 red balls. One ball is drawn at random. Find the probability that it is either black or red ball:

A. 2/3
B. 1/4
C. 5/12
D. 1/2

View Answer

Question 148

fifteen persons are sitting around a circular table facing the centre. What is the probability that three particular persons sit together ?

A. 3/91
B. 2/73
C. 1/91
D. 3/73

View Answer

Question 149

In a throw of a coin, find the probability of getting a head.

A. 1
B. 1/2
C. 1/4
D. 0.1

View Answer

Question 150

Four persons are to be choosen from a group of 3 men, 2 women and 4 children. Find the probability of selecting 1 man,1 woman and 2 children.

A. 2/7
B. 3/7
C. 4/7
D. 3/7

View Answer

Question 151

The mean, median and mode for binomial distribution will be equal when

A. p = 0.5
B. p < 0.5
C. p > 0.5
D. p = 1

View Answer

Question 152

A group of five persons is formed from five boys and four girls. Find the probability that there are at least two girls in the group?

A. 110/129
B. 5/6
C. 121/126
D. 3/7

View Answer

Question 153

If a box contains 10 bulbs,of which just three are defective. If a random sample of five bulbs is drawn, find the probability that the sample contains no defective bulbs.

A. 5/12
B. 7/12
C. 3/14
D. 1/12

View Answer

Question 154

Two dice are tossed. The probability that the total score is a prime number is:

A. 5/12
B. 1/6
C. 1/2
D. 7/9

View Answer

Question 155

One card is drawn at random from a pack of 52 cards. What is the probability that the card drawn is a face card (Jack, Queen and King only)?

A. 1/13
B. 3/13
C. 1/4
D. 9/52

View Answer

Question 156

Two letters are randomly chosen from the word TIME. Find the probability that the letters are T and M?

A. 1/4
B. 1/6
C. 1/8
D. 4

View Answer

Question 157

X attempts 94 questions and gets 141 marks. If for every correct answer 4 marks is given, and for every wrong answer 1 mark is deducted, then the number of questions wrongly answered by X is __.

A. 45
B. 47
C. 57
D. 40

View Answer

Question 158

A man and his wife appear in an interview for two vacancies in the same post. The probability of husband's selection is (1/7) and the probability of wife's selection is (1/5). What is the probability that only one of them is selected ?

A. 2/7
B. 1/7
C. 3/4
D. 4/5

View Answer

Question 159

An unbiased cubic die is thrown.What is the probabiltiy of getting a multiple of 3 or 4?

A. 1/12
B. 1/9
C. 3/4
D. 1/2

View Answer

Question 160

The mean of a distribution is 15 and the standard deviation is 5. What is the value of the coefficient variation?

A. 16.66%
B. 66.66%
C. 33.33%
D. 100%

View Answer

Question 161

Two cards are drawn at random from a pack of 52 cards.what is the probability that either both are black or both are queen?

A. 52/221
B. 55/190
C. 55/221
D. 19/221

View Answer

Question 162

The collection of one or more outcomes from an experiment is called

A. Event
B. Z-Value
C. Probability
D. Random Variable

View Answer

Question 163

The Manager of a company accepts only one employees leave request for a particular day. If five employees namely Roshan, Mahesh, Sripad, Laxmipriya and Shreyan applied for the leave on the occasion of Diwali. What is the probability that Laxmi priya’s leave request will be approved ?

A. 1
B. 1/5
C. 5
D. 4/5

View Answer

Question 164

In a simultaneous throw of two dice, what is the probability of getting a doublet ?

A. 1/6
B. 1/3
C. 4/7
D. 4/5

View Answer

Question 165

One card is drawn from a pack of 52 cards, each of the 52 cards being equally likely to be drawn find the probability the card drawn is red.

A. 2/3
B. 1/2
C. 1/52
D. 13/51

View Answer

Question 166

What is the probability of getting a sum 9 from two throws of a dice?

A. 1/6
B. 1/8
C. 1/9
D. 1/12

View Answer

Question 167

In a Poisson probability distribution

A. It always contains a contingency table
B. The number of trials is always less than 5
C. The probability of success is always greater than 5
D. The mean and variance of the distribution are same (equal)

View Answer

Question 168

A bag contains 2 red Roses, 4 yellow Roses and 6 pink Roses. Two roses are drawn at random. What is the probability that they are not of same color?

A. 1/6
B. 2/3
C. 14/33
D. 5/6

View Answer

Question 169

The mean of 20 observations is 19. One more observation is included and the new mean becomes 20. The 21st observation is

A. 20
B. 30
C. 40
D. 42

View Answer

Question 170

If the difference between the mode and median is 2, then the difference between the median and mean is:

A. 2
B. 1
C. 3
D. 4

View Answer

Question 171

What is the probability of getting 53 Mondays in a leap year?

A. 1/7
B. 3/7
C. 2/7
D. 1

View Answer

Question 172

In a single throw of two dice , find the probability that neither a doublet nor a total of 8 will appear.

A. 7/15
B. 5/18
C. 13/18
D. 3/16

View Answer

Question 173

The standard deviation of the set {10, 11, 12, 9, 8} is

A. 1
B. √2
C. 2
D. 2√2

View Answer

Question 174

A bag contains 2 red, 3 green and 2 blue balls. Two balls are drawn at random. What is the probability that none of the balls drawn is blue?

A. 10/21
B. 11/21
C. 1/2
D. 2/7

View Answer

Question 175

Two cards are drawn from a pack of well shuffled cards. Find the probability that one is a club and other in King

A. 1/52
B. 1/26
C. 1/13
D. 1/2

View Answer

Question 176

A coin is tossed twice if the coin shows head it is tossed again but if it shows a tail then a die is tossed. If 8 possible outcomes are equally likely. Find the probability that the die shows a number greater than 4, if it is known that the first throw of the coin results in a tail

A. 1/3
B. 2/3
C. 2/5
D. 4/15

View Answer

Question 177

Three houses are available in a locality. Three persons apply for the houses. Each applies for one house without consulting others. The probability that all the three apply for the same house is :

A. 2/9
B. 1/9
C. 8/9
D. 7/9

View Answer

Question 178

A six-sided die with faces numbered 1 through 6 is rolled three times. What is the probability that the face with the number 6 on it will not face upward on all the three rolls?

A. 215/216
B. 1/216
C. 215/256
D. 1/52

View Answer

Question 179

The mean of a distribution is 20 and the standard deviation is 4. What is the value of the coefficient variation?

A. 10%
B. 20%
C. 40%
D. 60%

View Answer

Question 180

A card is drawn from a pack of 52 cards. The card is drawn at random. What is the probability that it is neither a spade nor a Jack?

A. 9/13
B. 4/13
C. 10/13
D. 8/13

View Answer

Question 181

In hypergeometric distribution, the trials are

A. Dependent
B. Independent
C. Collectively Exhaustive
D. None of these

View Answer

Question 182

The the special rule of multiplication of probability, the events must be

A. Empirical
B. Bayesian
C. Independent
D. Independent

View Answer

Question 183

I forgot the last digit of a 7-digit telephone number. If 1 randomly dial the final 3 digits after correctly dialing the first four, then what is the chance of dialing the correct number?

A. 1/999
B. 1/1001
C. 1/1000
D. 4/1000

View Answer

Question 184

A listing of the possible outcomes of an experiment and their corresponding probability is called

A. Bayesian table
B. Random Variable
C. Contingency table
D. Probability distribution

View Answer

Question 185

Which of the following is not a condition of the binomial distribution?

A. trials must be independent
B. must have at least 3 trials
C. only 2 possible outcomes
D. have constant probability of success

View Answer

Question 186

Two dice are thrown together .What is the probability that the sum of the number on the two faces is divided by 4 or 6.

A. 7/18
B. 14/35
C. 8/18
D. 7/35

View Answer

Question 187

Find the probability of selecting 2 woman when four persons are choosen at random from a group of 3 men, 2 woman and 4 children.

A. 1/5
B. 1/7
C. 1/6
D. 1/9

View Answer

Question 188

If the standard deviation of a population is 6.5, what would be the population variance?

A. 40.25
B. 42.25
C. 18.25
D. 13

View Answer

Question 189

One card is drawn from a pack of 52 cards,each of the 52 cards being equally likely to be drawn.Find the probability that the ball drawn is an ace :

A. 1/13
B. 1/12
C. 1/14
D. 1/15

View Answer

Question 190

The probability of a lottery ticket being a prized ticket is 0.2. When 4 tickets are purchased, the probability of winning a prize on at least one ticket is -

A. 0.4869
B. 0.5904
C. 0.6234
D. 0.5834

View Answer

Question 191

A bag contains 4 white, 5 red and 6 blue balls. Three balls are drawn at random from the bag. The probability that all of them are red, is:

A. 2/91
B. 1/22
C. 3/22
D. 2/77

View Answer

Question 192

Two teams Arrogant and Overconfident are participating in a cricket tournament. The odds that team Arrogant will be champion is 5 to 3, and the odds that team Overconfident will be the champion is 1 to 4. What are the odds that either Arrogant or team Overconfident will become the champion?

A. 3 to 2
B. 5 to 2
C. 6 to 1
D. 33 to 7

View Answer

Question 193

What is the probability of getting a sum 9 from two throws of a dice?

A. 1/2
B. 3/4
C. 1/9
D. 2/9

View Answer

Question 194

The first 8 alphabets are written down at random. what is the probability that the letters b,c,d,e always come together ?

A. 1/7
B. 8!
C. 7!
D. 1/14

View Answer

Question 195

In a charity show tickets numbered consecutively from 101 through 350 are placed in a box. What is the probability that a ticket selected at random (blindly) will have a number with a hundredth digit of 2?

A. 0.25
B. 0.5
C. 0.75
D. 0.4

View Answer

Question 196

The odds favouring the event of a person hitting a target are 3 to 5. The odds against the event of another person hitting the target are 3 to 2. If each of them fire once at the target, find the probability that both of them hit the target.

A. 1/20
B. 4/20
C. 1/20
D. 3/20

View Answer

Question 197

In a lottery, there are 10 prizes and 25 blanks. A lottery is drawn at random. What is the probability of getting a prize ?

A. 1/7
B. 2/7
C. 3/7
D. 2/5

View Answer

Question 198

Successive trials in binomial distribution are

A. Dependent
B. Independent
C. Equally Likely
D. Mutually exclusive

View Answer

Question 199

The variance of a set of data is 121. Then the standard deviation of the data is

A. +-11
B. 11
C. 21
D. 60.5

View Answer

Question 200

Hypergeometric distribution has parameters

A. 1
B. 2
C. 3
D. 4

View Answer

Question 201

Three unbiased coins are tossed. What is the probability of getting at least 2 tails?

A. 0.75
B. 0.5
C. 0.25
D. 0.2

View Answer

Question 202

A bag contains 6 black and 8 white balls. One ball is drawn at random. What is the probability that the ball drawn is white?

A. 3/4
B. 4/7
C. 1/8
D. 3/7

View Answer

Question 203

A speaks truth in 75% cases and B in 80% of cases. In what percentage of cases they contradict each other in narrating the same incident?

A. 15%
B. 25%
C. 35%
D. 45%

View Answer

Question 204

Two cards are drawn together from a pack of 52 cards. The probability that one is a spade and one is a heart, is:

A. 3/20
B. 29/34
C. 47/100
D. 13/102

View Answer

Question 205

What is the probability that it is either a heart card or diamond card, when a card is drawn from a well shuffled standard pack of 52 playing cards?

A. 1
B. 1/2
C. 3/4
D. 1/3

View Answer

Question 206

A fair six-sided die is rolled twice. What is the probability of getting 4 on the first roll and not getting 6 on the second roll ?

A. 1/36
B. 5/36
C. 1/12
D. 1/9

View Answer

Question 207

A speaks truth in 60% cases B speaks truth in 70% cases. The probability that they will way say the same thing while describing a single event, is-

A. 0.54
B. 0.56
C. 0.68
D. 0.94

View Answer

Question 208

The probabilities that a student will receive an A, B, C or D grade are 0.4, 0.3 , 0.2 and 0.1 respectively. Find the probability that a student will receive Atleast B grade.

A. 0.21
B. 0.3
C. 0.7
D. None of these

View Answer

Question 209

If the standard deviation of a population is 10, what would be the population variance?

A. 100
B. 30
C. 5
D. 20

View Answer

Question 210

A person starting with 64 rupees and making 6 bets, wins three times and loses three times, the wins and loses occurring in random order. The chance for a win is equal to the chance for a loss. If each wager is for half the money remaining at the time of the bet, then the final result is:

A. A gain of Rs. 27
B. A loss of Rs. 37
C. A loss of Rs. 27
D. A gain of Rs. 37

View Answer

Question 211

Out of sixty students, there are 14 who are taking Economics and 29 who are taking Calculus. What is the probability that a randomly chosen student from this group is taking only the Calculus class ?

A. 8/15
B. 7/15
C. 1/15
D. 4/15

View Answer

Question 212

The probability that a bowler bowled a ball from a point will hit by the batsman is ¼. Three such balls are bowled simultaneously towards the batsman from that very point. What is the probability that the batsman will hit the ball ?

A. 37/64
B. 27/56
C. 11/13
D. 9/8

View Answer

Question 213

The mean of distribution is 11 and the standard deviation is 5. What is the value of the coefficient variation?

A. 45.45%
B. 35.35%
C. 25.25%
D. 55.55%

View Answer