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probability MCQs

Practise focused probability questions with marked answers for exam preparation and subject revision.

probability Mcqs
1. If four coins are tossed, the probability of getting two heads and two tails is__________?
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A. 5-Feb

B. 3/8

C. 5-Apr

D. 11-Jun

2. A card is drawn from a pack of 52 cards. The probability of getting a queen of club or a king of heart is___________?
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A. 13-Feb

B. Jan-52

C. 13-Jan

D. 1/26
3. Out of 10 persons working on a project, 4 are graduates. If 3 are selected, what is the probability that there is at least one graduate among them?
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A. 6-Jan

B. 8-Mar

C. 8-May

D. 5/6
4. A box contains 3 blue marbles, 4 red, 6 green marbles and 2 yellow marbles. If three marbles are picked at random, what is the probability that they are all blue?
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A. 4/455

B. 2/455

C. Jan-91

D. 1/455
5. A box contains 3 blue marbles, 4 red, 6 green marbles and 2 yellow marbles. If two marbles are picked at random, what is the probability that they are either blue or yellow?
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A. 2/21

B. 21-Apr

C. 22-Mar

D. 14-Jan

6. If six persons sit in a row, then the probability that three particular persons are always together is____________?
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A. 20-Jan

B. 10-Mar

C. 5-Apr

D. 1/5
7. If two dice are thrown together, the probability of getting an even number on one die and an odd number on the other is__________?
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A. 4-Mar

B. 1/2

C. 5-Mar

D. 4-Jan

8. 10 books are placed at random in a shelf. The probability that a pair of books will always be together is_________?
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A. 10-Sep

B. 1/5

C. 10-Jan

D. 10-Mar

9. 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_____________?
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A. 16/19

B. 2-Jan

C. 5-Apr

D. 17/20
10. A bag contains 7 green and 8 white balls. If two balls are drawn simultaneously, the probability that both are of the same colour is -.
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A. 5-Mar

B. 15-Aug

C. 5-Feb

D. 7/15
11. The probability that A speaks truth is 3/5 and that of B speaking truth is 4/7. What is the probability that they agree in stating the same fact?
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A. 19/35

B. Dec-35

C. 18/35

D. 17/35

12. A box contains nine bulbs out of which 4 are defective. If four bulbs are chosen at random, find the probability that at least one bulb is good.
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A. 125/126

B. 1/126

C. Feb-63

D. Jun-63

13. What is probability of drawing two clubs from a well shuffled pack of 52 cards?
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A. 26-Jan

B. 1/17

C. 13/17

D. 13/51

14. Three 6 faced dice are thrown together. The probability that exactly two dice show the same number on them is -.
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A. 5/12

B. 9-May

C. Jan-36

D. 12-Jul

15. Out of 15 consecutive numbers, 2 are chosen at random. The probability that they are both odds or both primes is_________?
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A. 46/105

B. Cannot be determined

C. 17-Oct

D. 19-Oct

16. A coin is tossed live times. What is the probability that there is at the least one tail?
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A. 16-Jan

B. 2-Jan

C. 31/32

D. Jan-32

17. A bag contains five white and four red balls. Two balls are picked at random from the bag. What is the probability that they both are different color?
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A. 5/9

B. 9-Aug

C. 9-Jul

D. 9-Apr

18. 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__________?
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A. 0.5834

B. 0.5904

C. 0.4869

D. 0.6234

19. If a card is drawn from a well shuffled pack of cards, the probability of drawing a spade or a king is__________?
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A. 19/52

B. 17/52

C. 13-May

D. 4/13
20. From a pack of cards two cards are drawn one after the other, with replacement. The probability that the first is a red card and the second is a king is_________?
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A. 15/26

B. Mar-52

C. 1/26

D. 26-Nov

21. The probability that a number selected at random from the first 50 natural numbers is a composite number is__________?
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A. 17/25

B. 21/25

C. 25-Apr

D. 25-Aug

22. A box contains nine bulbs out of which 4 are defective. If four bulbs are chosen at random, find the probability that all the four bulbs are defective.
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A. 62/63

B. Jan-63

C. 125/126

D. 1/126
23. Three 6 faced dice are thrown together. The probability that all the three show the same number on them is -.
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A. 1/216

B. 1/36

C. 12-May

D. 9-May

24. If a number is chosen at random from the set {1, 2, 3, ., 100}, then the probability that the chosen number is a perfect cube is___________?
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A. 1/25

B. 10-Jan

C. 13-Apr

D. 2-Jan

25. In a drawer there are 4 white socks, 3 blue socks and 5 grey socks. Two socks are picked randomly. What is the possibility that both the socks are of same color?
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A. Feb-33

B. 1

C. 19/66

D. 11-Apr

26. A basket has 5 apples and 4 oranges. Three fruits are picked at random. The probability that at least 2 apples are picked is__________?
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A. 20-Sep

B. 25/42

C. 23-Oct

D. 41/42

27. What is the probability that a leap year has 53 Sundays and 52 Mondays?
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A. 0

B. 1/7

C. 7-Feb

D. 7-May

28. Three 6 faced dice are thrown together. The probability that no two dice show the same number on them is__________?
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A. Jan-36

B. 12-May

C. 12-Jul

D. 5/9
29. What are the chances that no two boys are sitting together for a photograph if there are 5 girls and 2 boys?
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A. 7-Apr

B. 7-Feb

C. 5/7

D. 21-Jan

30. 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?
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A. 16/21

B. 14-Sep

C. 5/21

D. 14-May

31. A box contains 3 blue marbles, 4 red, 6 green marbles and 2 yellow marbles. If four marbles are picked at random, what is the probability that none is blue?
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A. 17/91

B. 65/91

C. 33/91

D. 51/91

32. The picture cards having in total fifty two cards is equal_________________?
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A. 16

B. Non of these

C. 12

D. 24

33. . If the occurrence of one event means that another cannot happen, then the events are _______________?
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A. Mutually Exclusive

B. Bayesian

C. Empirical

D. Independent

34. If an event consists of only one sample point is called _____________?
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A. Space

B. Exactly

C. Elementary event

D. Appeared

35. The probability that the sum is odd if two dice are thrown:_________________?
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A. Jun-36

B. Dec-36

C. Sep-36

D. 18/36
36. In which approach to probability the outcomes are equally likely to occur ?
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A. Independent

B. Classical Probability

C. Relative Frequency

D. Subjective Probability

37. Which of the following is not a correct statement about a Probability _________________?
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A. It must have a value between 0 and 1

B. It is the collection of several experiment

C. A value near 0 means that the event is not likely to occur/happens

D. It can be reported as a decimal or a fraction

38. The probability of getting exactly three tails when three balanced coins are tossed once _______________?
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A. 8-Feb

B. 1/8

C. 8-May

D. 8-Jul

39. A fair coin toss the total events in sample space equal_____________?
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A. 16

B. 36

C. 6

D. 7

40. If the occurrence of excludes the occurrence of the other is called ________________?
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A. Exchaustive

B. Mutually exclusive

C. Likely

D. Probability

41. A list of sample _________ is called sample space?
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A. Events

B. Distinct

C. Piont

D. Subset

42. If P(B/A)= 0.25 and P(A?B) = 0.2 then P(A) will equal to _______________?
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A. 0.8

B. 0.45

C. 0.75

D. 0.05

43. The probability of drawing a picture card out of 52 cards is : ______________?
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A. 13/52

B. 12/52

C. Mar-52

D. 16/52

44. A set of events is said to be independent if probability of head on tossing a coin is _______________?
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A. 1

B. 3-Feb

C. 1/2

D. 4-Mar

45. If a card is chosen from a standard deck of cards, what is the probability of getting a diamond (?) or a club (?)?
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A. Dec-52

B. 13/52

C. 20/52

D. 26/52=1/2
46. The probability of even/odd numbers when a fair die is rolled is____________?
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A. Jan-36

B. 6-Jan

C. 3/6

D. 6-Feb

47. Which of the following is not an example of a discrete probability distribution ?
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A. The sale or purchase price of a house

B. Non of these

C. Whether or no t a home has a swimming pool in it.

D. The number of bedrooms in a house
48. If P(A/B)=1/4 and P(A?B) =1/5 then P(B) is ________________?
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A. 9-Jan

B. 20-Jan

C. 4/5

D. 0

49. The special rule of multiplication of probability, the events must be ______________?
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A. Mutually exclusive

B. Bayesian

C. Empirical

D. Independent
50. The square bracket is an finite G. Series is obtained by formula _________________?
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A. a/1-rn

B. a/1-r

C. a/(1-r)n

D. 1/1-rn