Question

An experiment involves rolling a six-sided die. Let event A = the event of rolling an even number, and event B = the event of rolling a number less than or equal to 3. Then P(A/B) =

A. 1/3
B. 3/6
C. 1/6

Answer 1

A. 1/3

Step-by-Step Explanation

When a six-sided die is rolled, sample space = {1, 2, 3, 4, 5, 6}.

A is the event of getting an even number = {2, 4, 6}.

P(A) = 3/6 = 1/2

B is the event of getting a number less than or equal to 3 = {1, 2, 3}.

P(B) = 3/6 = 1/2

A∩B = {2}

P(A∩B) = 1/6

Using the P(A/B) formula:

P(A/B) = P(A∩B) / P(B) = 1/6/1/2 = 1/3

So P(A/B) = 1/3

Hope it helps.

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