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