If events A and B are independent, then P(B|A) = P(B). We are given that P(A) = 0.36 and P(B|A) = 0.5, so we can use the formula for conditional probability to find P(A and B):
P(A and B) = P(B|A) * P(A)
P(A and B) = 0.5 * 0.36
P(A and B) = 0.18
Since A and B are independent, we also know that:
P(A and B) = P(A) * P(B)
Substituting the values we know, we get:
0.18 = 0.36 * P(B)
Solving for P(B), we get:
P(B) = 0.18 / 0.36
P(B) = 0.5
Therefore, the value of P(B) is 0.5.