Question

Two events, A and B, are disjoint. What is the probability that both A and B will occur at the same time?

Answer 1

ANSWER


`P(A\cap B)=0`

Step-by-step explanation

If the two events are disjoint, then they are mutually exclusive.

This means that their intersection is zero.

Therefore


`n(A\cap B)=0`

This implies that,


`P(A\cap B)= (n(A\cap B))/(n(U))`


`P(A\cap B)= (0)/(n(U)) = 0`

The probability that the two events will occur together is 0, which means an impossibility.