Question

Assume that we have two events, A and B, that are mutually exclusive. Assume further that we know P(A) = 0.30 and P(B) =0.40. What is P(A | B)?

Answer 1

0

Explanation:

You want the probability P(A|B) when events A and B are mutually exclusive.

Conditional probability

The formula for conditional probability is ...

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

When events are mutually exclusive, they occur together with probability 0 (never). Hence, ...

P(A|B) = 0/P(B)

P(A|B) = 0