Question

Calculate each probability, given that P(A)=0.5, P(B)=0.4, and P(A and B)=0.1. P(A|B)

Answer 1

P(A|B) is the probability of A occurring given that B has already occurred.

We can use the formula:

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

Substituting the given values:

P(A|B) = 0.1 / 0.4

P(A|B) = 0.25

Therefore, the probability of A occurring given that B has already occurred is 0.25.