Question

If A and B are mutually exclusive events P(A∩B) = _________
Fill in the blank.

Answer 1

Final Answer :  P(A ∩ B) = 0

=> If A and B are mutually exclusive events, then they can't occur simultaneously.

For example,

Toss of coin : Head or tail will be required outcome but only one at a time .

Head and tail can't occur at the same time.

Hence ,  Toss of a coin  is an example of mutually exclusive events .

We can also think of throwing a dice , where all outcomes are mutually exclusive .

1 & 2 can't occur simultaneously .

=>Hence, Probability of happening of both A and B is impossible event.

Hence, P(A ∩ B) = 0.