Answer:
Explanation:
We can use the formula for conditional probability to find the missing probability:
P(A|B) = P(A ∩ B) / P(B)
We are given that P(A ∩ B) = 11/50 and P(A|B) = 11/20, so we can substitute these values into the formula and solve for P(B):
11/20 = 11/50 / P(B)
Multiplying both sides by P(B), we get:
P(B) * 11/20 = 11/50
Multiplying both sides by 20/11, we get:
P(B) = (11/50) * (20/11) = 4/10 = 2/5
Therefore, P(B) = 2/5.