Question

If A and B are mutually exclusive events such that P(A) = 0.35 and P(B) = 0.45, find P(A ∩ \[\bar{ B } \] ) 

Answer 1

It is given that A and B are mutually exclusive events.
∴ P(A ∩ B) = 0
Also, P(A) = 0.35 and P(B) = 0.45.

 \[P\left( A \cap B \right) = P\left( A \right) - P\left( A \cap B \right)\]
\[ = 0 . 35 - 0\]
\[ = 0 . 35\]