Probability MCQs with answers

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Q. Two cards from a pack of 52 cards are lost. One card is drawn from the remaining cards. If drawn card is diamond then the probability that the lost cards were both hearts is
  • (A) 143/1176
  • (B) 143/11760
  • (C) 143/11706
  • (D) 134/11760
πŸ’¬ Discuss
βœ… Correct Answer: (B) 143/11760
Q. If four whole numbers taken at random are multiplied together, then the chance that the last digit in the product is 1, 3, 5, 7 is
  • (A) 16/25
  • (B) 16/125
  • (C) 16/625
  • (D) none of these
πŸ’¬ Discuss
βœ… Correct Answer: (C) 16/625
Q. Three identical dice are rolled. The probability that the same number will appear on each of them is
  • (A) 1/6
  • (B) 1/36
  • (C) 1/18
  • (D) 3/28
πŸ’¬ Discuss
βœ… Correct Answer: (B) 1/36
Q. There are four machines and it is known that exactly two of them are faulty. They are tested, one by one, in a random order till both the faulty machines are identified. Then the probability that only two tests are needed is
  • (A) 1/3
  • (B) 1/6
  • (C) 1/2
  • (D) 1/4
πŸ’¬ Discuss
βœ… Correct Answer: (B) 1/6
Q. Two unbiased dice are thrown. The probability that neither a doublet nor a total of 10 will appear is
  • (A) 3/5
  • (B) 2/7
  • (C) 5/7
  • (D) 7/9
πŸ’¬ Discuss
βœ… Correct Answer: (D) 7/9
Q. Two dice are thrown the events A, B, C are as follows A: Getting an odd number on the first die. B: Getting a total of 7 on the two dice. C: Getting a total of greater than or equal to 8 on the two dice. Then AUB is equal to
  • (A) 15
  • (B) 17
  • (C) 19
  • (D) 21
πŸ’¬ Discuss
βœ… Correct Answer: (D) 21
Q. Two numbers are chosen from {1, 2, 3, 4, 5, 6} one after another without replacement. Find the probability that the smaller of the two is less than 4.
  • (A) 4/5
  • (B) 1/15
  • (C) 1/5
  • (D) 14/15
πŸ’¬ Discuss
βœ… Correct Answer: (A) 4/5
Q. The probability that when a hand of 7 cards is drawn from a well-shuffled deck of 52 cards, it contains 3 Kings is
  • (A) 1/221
  • (B) 5/716
  • (C) 9/1547
  • (D) None of these
πŸ’¬ Discuss
βœ… Correct Answer: (C) 9/1547
Q. A certain company sells tractors which fail at a rate of 1 out of 1000. If 500 tractors are purchased from this company, what is the probability of 2 of them failing within first year
  • (A) e-1/2/2
  • (B) e-1/2/4
  • (C) e-1/2/8
  • (D) none of these
πŸ’¬ Discuss
βœ… Correct Answer: (C) e-1/2/8
Q. The probability that in a random arrangement of the letters of the word INSTITUTION the three T are together is
  • (A) 0.554
  • (B) 0.0554
  • (C) 0.545
  • (D) 0.0545
πŸ’¬ Discuss
βœ… Correct Answer: (D) 0.0545
Q. 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
πŸ’¬ Discuss
βœ… Correct Answer: (B) 1/9
Q. A bag contains 5 brown and 4 white socks . A man pulls out two socks. The probability that both the socks are of the same colour is
  • (A) 9/20
  • (B) 2/9
  • (C) 3/20
  • (D) 4/9
πŸ’¬ Discuss
βœ… Correct Answer: (D) 4/9
Q. When a coin is tossed 8 times getting a head is a success. Then the probability that at least 2 heads will occur is
  • (A) 247/265
  • (B) 73/256
  • (C) 247/256
  • (D) 27/256
πŸ’¬ Discuss
βœ… Correct Answer: (C) 247/256
Q. A couple has two children. The probability that both children are females if it is known that the elder child is a female is
  • (A) 0
  • (B) 1
  • (C) 1/2
  • (D) 1/3
πŸ’¬ Discuss
βœ… Correct Answer: (C) 1/2
Q. A random variable X has poison distribution with mean 2. Then, P (X > 1.5) equals
  • (A) 1 – 3/eΒ²
  • (B) 2/eΒ²
  • (C) 3/eΒ²
  • (D) 0
πŸ’¬ Discuss
βœ… Correct Answer: (A) 1 – 3/eΒ²
Q. Let A and B are two mutually exclusive events and if P(A) = 0.5 and P(B Μ…) = 0.6 then P(AβˆͺB) is
  • (A) 0
  • (B) 1
  • (C) 0.6
  • (D) 0.9
πŸ’¬ Discuss
βœ… Correct Answer: (D) 0.9
Q. The probability of getting 53 Sundays in a leap year is
  • (A) 1/7
  • (B) 2/7
  • (C) 3/7
  • (D) None of these
πŸ’¬ Discuss
βœ… Correct Answer: (B) 2/7
Q. The probability of getting the number 6 at least once in a regular die if it can roll it 6 times?
  • (A) 1 – (5/6)6
  • (B) 1 – (1/6)6
  • (C) (5/6)6
  • (D) (1/6)6
πŸ’¬ Discuss
βœ… Correct Answer: (A) 1 – (5/6)6
Q. On his vacation, Rahul visits four cities (A, B, C, and D) in a random order. The probability that he visits A first and B last is
  • (A) 1/2
  • (B) 1/6
  • (C) 1/10
  • (D) 1/12
πŸ’¬ Discuss
βœ… Correct Answer: (D) 1/12

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Table of contents

  1. Two cards from a pack of 52 cards are lost. One card is drawn from the remaining cards. If drawn car
  2. If four whole numbers taken at random are multiplied together, then the chance that the last digit i
  3. Three identical dice are rolled. The probability that the same number will appear on each of them is
  4. There are four machines and it is known that exactly two of them are faulty. They are tested, one by
  5. Two unbiased dice are thrown. The probability that neither a doublet nor a total of 10 will appear i
  6. Two dice are thrown the events A, B, C are as follows A: Getting an odd number on the first die. B:
  7. Two numbers are chosen from {1, 2, 3, 4, 5, 6} one after another without replacement. Find the proba
  8. The probability that when a hand of 7 cards is drawn from a well-shuffled deck of 52 cards, it conta
  9. A certain company sells tractors which fail at a rate of 1 out of 1000. If 500 tractors are purchase
  10. The probability that in a random arrangement of the letters of the word INSTITUTION the three T are
  11. Three houses are available in a locality. Three persons apply for the houses. Each applies for one h
  12. A bag contains 5 brown and 4 white socks . A man pulls out two socks. The probability that both the
  13. When a coin is tossed 8 times getting a head is a success. Then the probability that at least 2 head
  14. A couple has two children. The probability that both children are females if it is known that the el
  15. A random variable X has poison distribution with mean 2. Then, P (X > 1.5) equals
  16. Let A and B are two mutually exclusive events and if P(A) = 0.5 and P(B Μ…) = 0.6 then P(AβˆͺB) is
  17. The probability of getting 53 Sundays in a leap year is
  18. The probability of getting the number 6 at least once in a regular die if it can roll it 6 times?
  19. On his vacation, Rahul visits four cities (A, B, C, and D) in a random order. The probability that h

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