Question

If a and b are mutually exclusive events, then p(a | b) = 0?
1) True
2) False

Answer 1

If A and B are mutually exclusive events, then P(A | B) = 0.

Step-by-step explanation:

True. If two events, A and B, are mutually exclusive, it means that they cannot occur at the same time. In this case, the probability of event A occurring given that event B has occurred, denoted as P(A | B), will be zero.

For example, if event A is rolling a dice and getting an odd number (1, 3, or 5), and event B is rolling a dice and getting an even number (2, 4, or 6), these two events cannot happen at the same time. So, P(A | B) will be 0.