If P(A) = 0.5 and P(B) = 0.5, then we cannot determine P(A ∩ B) without additional information.
The probability of the intersection of two events A and B is given by:
P(A ∩ B) = P(A) x P(B|A)
where P(B|A) is the probability of event B given that event A has occurred.
Without knowing the conditional probability P(B|A), we cannot determine P(A ∩ B) from the information given.
Therefore, the answer is d. Cannot be determined from the information given.