Problems on Ages

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Problems on Average

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Odd Man Out Series

Odd Man Out Series - 1 Odd Man Out Series - 2 Odd Man Out Series - 3 Odd Man Out Series - 4

Problems on Percentage

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Permutation and Combination

Permutation and Combination - 1 Permutation and Combination - 2 Permutation and Combination - 3

Problems on Probability

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Problems on Profit Loss

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Problems on Test Divisibility

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Time and Work

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The ones who are crazy enough to think they can change the world are the ones who do.

- Steve Jobs

Interview Questions on Probability

Probability - Aptitude

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

x

Option: D

Explanation

n(S) = {6 * 6} = 36

E = event of getting sum of the numbers on the two faces that is divisible by 4 or 6

E = {(1, 3), (1, 5), (2, 2), (2, 4), (2, 6), (3, 1), (3, 3), (3, 5), (4, 2), (4, 4), (5, 1), (5, 3), (6, 2), (6, 6)}

P(E) = n(E)/n(S) = 14/36 = 7/18

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

x

Option: A

Explanation

n(S) = {6 * 6} = 36

E = event of getting a sum of 9

E = {(3, 6), (4, 5), (5, 4), (6, 3)}

P(E) = n(E)/n(S) = 4/36 = 1/9

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

x

Option: D

Explanation

n(S) = (6 * 6) = 36

E = event of getting a doublet

E = ((1, 1), (2, 2), (3, 3), (4, 4), (5, 5), (6, 6)) = 15 +6 = 21

P(E) = n(E)/n(S) = 6/36 = 1/6

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

x

Option: A

Explanation

S = {1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20}

E = event of getting a multiple of 3

E = {3, 6, 9, 12, 15, 18}

P(E) = n(E)/n(S) = 6/20 = 3/10

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

x

Option: A

Explanation

n(S) = {10 + 35} = 45

E = event of getting a prize

n(E) = 10

P(E) = n(E)/n(S) = 10/45 = 2/7

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