Question

If A and B are two disjunct and independent events, what can we say about the chance of A and about the chance of B?

Answer 1

Solution:

Two events are disjoint and independent at a time if and only if probabilities of one or both events is zero.

i.e. if P(A) = 0 or P(B) = 0 or both are zero.

Explanation:

Two events A and B are said to be disjoint if P(A B) = 0

Two events A and B are said to be independent if P(A B) = P(A) * P(B)

Here , two events are disjoint as well as independent also.

So , we can say , P(A) * P(B) = 0

So , either P(A) = 0 or P(B) = 0 or both P(A) and P(B) are equal to zero.