Probability MCQs for Entry Test with Answers and Explanations [PDF]

If a dice is rolled twice then what is the probability that the sum of the number of dots shown is 8?

Option A: 5/36

Option B: 4/36

Option C: 1/12

Option D: 1/2

Correct Answer: 5/36 ✔

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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?

Option A: 4/11

Option B: 1

Option C: 2/33

Option D: 19/66

Correct Answer: 1 ✔

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What is probability of drawing two clubs from a well shuffled pack of 52 cards?

Option A: 13/51

Option B: 1/17

Option C: 1/26

Option D: 13/17

Correct Answer: 1/17 ✔

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What are the chances that no two boys are sitting together for a photograph if there are 5 girls and 2 boys?

Option A: 1/21

Option B: 4/7

Option C: 2/7

Option D: 5/7

Correct Answer: 5/7 ✔

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

Option A: 1/13

Option B: 2/13

Option C: 1/26

Option D: 1/52

Correct Answer: 1/26 ✔

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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_________?

Option A: 1/26

Option B: 3/52

Option C: 15/26

Option D: 11/26

Correct Answer: 1/26 ✔

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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?

Option A: 1/6

Option B: 5/8

Option C: 3/8

Option D: 5/6

Correct Answer: 5/6 ✔

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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?

Option A: 18/35

Option B: 12/35

Option C: 17/35

Option D: 19/35

Correct Answer: 18/35 ✔

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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?

Option A: 5/21

Option B: 5/14

Option C: 9/14

Option D: 16/21

Correct Answer: 5/21 ✔

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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__________?

Option A: 0.4869

Option B: 0.5904

Option C: 0.6234

Option D: 0.5834

Correct Answer: 0.5904 ✔

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

Option A: 1/10

Option B: 9/10

Option C: 1/5

Option D: 3/10

Correct Answer: 1/5 ✔

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

Option A: 0

Option B: 1/7

Option C: 2/7

Option D: 5/7

Correct Answer: 1/7 ✔

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

Option A: 10/17

Option B: 10/19

Option C: 46/105

Option D: Cannot be determined

Correct Answer: Cannot be determined ✔

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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?

Option A: 4/9

Option B: 5/9

Option C: 7/9

Option D: 8/9

Correct Answer: 5/9 ✔

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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?

Option A: 3/22

Option B: 4/21

Option C: 2/21

Option D: 1/14

Correct Answer: 2/21 ✔

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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?

Option A: 1/455

Option B: 2/455

Option C: 1/91

Option D: 4/455

Correct Answer: 1/455 ✔

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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?

Option A: 17/91

Option B: 33/91

Option C: 51/91

Option D: 65/91

Correct Answer: 33/91 ✔

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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.

Option A: 6/63

Option B: 2/63

Option C: 125/126

Option D: 1/126

Correct Answer: 125/126 ✔

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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.

Option A: 62/63

Option B: 125/126

Option C: 1/63

Option D: 1/126

Correct Answer: 1/126 ✔

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

Option A: 5/9

Option B: 5/12

Option C: 1/36

Option D: 7/12

Correct Answer: 5/12 ✔

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

Option A: 7/12

Option B: 5/9

Option C: 1/36

Option D: 5/12

Correct Answer: 5/9 ✔

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Three 6 faced dice are thrown together. The probability that all the three show the same number on them is -.

Option A: 1/216

Option B: 1/36

Option C: 5/9

Option D: 5/12

Correct Answer: 1/36 ✔

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

Option A: 25/42

Option B: 9/20

Option C: 10/23

Option D: 41/42

Correct Answer: 25/42 ✔

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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 -.

Option A: 8/15

Option B: 2/5

Option C: 3/5

Option D: 7/15

Correct Answer: 7/15 ✔

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If six persons sit in a row, then the probability that three particular persons are always together is__________?

Option A: 1/20

Option B: 3/10

Option C: 1/5

Option D: 4/5

Correct Answer: 1/5 ✔

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

Option A: 19/52

Option B: 17/52

Option C: 5/13

Option D: 4/13

Correct Answer: 4/13 ✔

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If four coins are tossed, the probability of getting two heads and two tails is__________?

Option A: 3/8

Option B: 6/11

Option C: 2/5

Option D: 4/5

Correct Answer: 3/8 ✔

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

Option A: 1/4

Option B: 1/2

Option C: 3/4

Option D: 3/5

Correct Answer: 1/2 ✔

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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__________?

Option A: 1/2

Option B: 16/19

Option C: 4/5

Option D: 17/20

Correct Answer: 17/20 ✔

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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__________?

Option A: 1/25

Option B: 1/2

Option C: 4/13

Option D: 1/10

Correct Answer: 1/25 ✔

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

Option A: 31/32

Option B: 1/16

Option C: 1/2

Option D: 1/32

Correct Answer: 31/32 ✔

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The probability that a number selected at random from the first 50 natural numbers is a composite number is__________?

Option A: 21/25

Option B: 17/25

Option C: 4/25

Option D: 8/25

Correct Answer: 17/25 ✔

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