Answer
Not mutually exclusive
Work Step by Step
Two events are mutually exclusive if they have no outcomes in common, meaning they cannot happen at the same time.
Analyzing the Events:
Event A: The sum is a prime number. Possible sums are $2, 3, 5, 7, 11$ etc..
Event B: The sum is less than four. Possible sums are $2$ and $3$.
Finding the overlap: Both Event A and Event B include the sum of $2$ and $3$.
Conclusion: Since the sum can be $2$ or $3$, which satisfies both "being a prime number" and "being less than four," the events are not mutually exclusive.
