Question

Given that P(A) = 0.4, P(A | B) = 0.5, and P(B) = 0.4, compute P(A and B).

Answer 1

0.2

Explanation:

To compute P(A and B), you can use the formula for conditional probability:

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

Given the values you provided:

P(A | B) = 0.5

P(B) = 0.4

Now, you can calculate P(A and B):

P(A and B) = 0.5 * 0.4 = 0.2

So, P(A and B) is 0.2