Question

If A and B be mutually exclusive events associated with a random experiment such that P(A) = 0.4 and P(B) = 0.5, then find 

P ( \[\bar{ A} \] ∩ B)

Answer 1

Given:
P(A) = 0.4 and P(B) = 0.5 
If A and B be mutually exclusive event, then P (A ∩ B) = 0

\[P\left( \bar{A} \cap B \right) = P\left( B \right) - P\left( A \cap B \right)\]

                          = 0.5 - 0 = 0.5