Question

If a and b are mutually exclusive events with p(a) = 0. 2 and p(b) = 0. 5, find p(a ∩ b).

Answer 1

Hi there!

p(a∩b) = 0.

Since a and b are mutually exclusive events, there is no overlap or intersection of events.

These two events CANNOT both occur, so the intersection of p(a) and p(b) does not exist.

Thus, p(a∩b) = 0.