Answer:
Events A and B are not independent.
Step-by-step explanation:
In order for two events to be independent, the following relationship must be true:
The intersection between events A and B is the outcome that Bob and Alice have exactly one girl, the probability is:
For event A, the possible outcomes are having one or two girls:
For event B, the possible outcomes are having none or one girl:
Therefore, P(A) x P(B) is:
Since P(A) x P(B) ≠ P(A∩B), events A and B are not independent