Question

What is meant by mutually exclusive?

Answer 1

Mutually exclusive events

• Mutually exclusive events are those events that do not occur at the same time.
• It is also called disjoint events.
• If two events are mutually exclusive events, then the probability of both events occurring at the same time will be zero.
• If $A$ and $B$ are mutually exclusive events, then

$P\left(A\cap B\right)=0$ and $P\left(A\cup B\right)=P\left(A\right)+P\left(B\right)$

Example: After tossing a coin, the event of getting a head and a tail are mutually exclusive. Because the probability of getting head and tail simultaneously is $0$.