Question

Let A and B events with P(A) = 1/3, P(B) = 1/4, and P(A and B) =

1/8. Find the probability P(B | A).

Answer 1

To find the probability P(B | A), we use the formula P(B | A) = P(A and B) / P(A). Given the values P(A) = 1/3, P(B) = 1/4, and P(A and B) = 1/8, we can calculate P(B | A) as 3/8.

Step-by-step explanation:

To find the conditional probability P(B | A), we use the formula:

P(B | A) = P(A and B) / P(A)

We are given that P(A) = 1/3, P(B) = 1/4, and P(A and B) = 1/8. Substituting these values into the formula, we get:

P(B | A) = (1/8) / (1/3)

P(B | A) = 3/8

Therefore, the probability P(B | A) is 3/8.