Question

The probability of an event A occurring is $0.5$ and of B occuring s $0.3$. If A and B are mutually exclusive events, then the probability of neither A nor B occurring is

• A. $0.6$
• B. $0.5$
• C. $0.7$
• D. none of these

Answer 1

The correct option is D none of these

$P(\overline{A}\cap \overline{B})=P\left(\overline{A\cup B}\right)$ $=1-P(A\cup B)=1-[P\left(A\right)+P\left(B\right)]=1-0.5-0.3=\mathrm{0.2.}$
[ $\because$Events A, B are mutually exclusive ]