To find the probability of either event A or event B occurring when the events are mutually exclusive, we use the formula:

$P(A \text{ or } B) = P(A) + P(B)$

Given: $P(A) = \frac{1}{2}$ $P(B) = \frac{1}{4}$

Since the events are mutually exclusive, we can simply add the probabilities:

$P(A \text{ or } B) = \frac{1}{2} + \frac{1}{4}$

To add these fractions, find a common denominator. The least common denominator (LCD) of 2 and 4 is 4.

Convert $\frac{1}{2}$ to have a denominator of 4:

[ \frac{1