Two events A and B both have positive probability and are mutually exclusive.
Which statement must be true?
- A
P(A and B) = P(A)P(B)
- B
P(A) + P(B) = 1
- Ccheck_circle
A and B cannot be independent
- D
A and B must be independent
Explanation
If mutually exclusive with positive probabilities, P(A and B) = 0 but P(A)P(B) > 0, so they cannot be independent.