If A and B are mutually exclusive events then P(A ∪ B) equal to ?

If A and B are mutually exclusive events then P(A ∪ B) equal to ?
| If A and B are mutually exclusive events then P(A ∪ B) equal to ?

A. P (A) - P (B)

B. P (A) + P (B)

C. P (A) × P (B)

D. None of the above

Please scroll down to see the correct answer and solution guide.

Right Answer is: B

SOLUTION

Explanation:

Mutually exclusive events:

Two events are said to be mutually exclusive if they cannot happen at the same time.

In another word, we can say that mutually exclusive is disjoint. If two events are disjoint, then the probability of them both occurring at the same time is 0

If A and B are mutually exclusive events then,

P(A ∩ B) = 0 and P (A ∪ B) = P (A) + P (B)