The probability of happening of an event A is 0.5 and that of B is 0.3. If A and B are mutually exclusive events, then the probability of neither A nor B is…..

Explanation

To solve the problem, we need to find the probability of neither event A nor event B occurring, given that the probabilities of events A and B are 0.5 and 0.3 respectively, and that they are mutually exclusive events.

**Step 1: Understand the concept of mutually exclusive events.**
Mutually exclusive events are events that cannot occur at the same time. This means that the intersection of events A and B is empty, or mathematically, P(A ∩ B) = 0.

**Step 2: Calculate the probability of the union of events A and B.**
The probability of the union of two events A and B is given by the formula:
\[ P(A \cup B) = P(A) + P(B) - P(A \cap B) \]
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