Question

Two coins are tossed, $A$ is the event of getting at most one head, $B$ is the event getting both heads, $C$ is the event of getting same face on both the coins. The events $A$ and $B$ are:

• A. Mutually exhaustive
• B. Mutually exclusive
• C. Same
• D. None of these

Answer 1

The correct option is B Mutually exclusive

$n\left(S\right)=4,n\left(A\right)=3,n\left(B\right)=1,n\left(C\right)=2,A\cap B=\varphi$
$\therefore A$ and $B$ are mutually exclusive events.