Final answer:
To find the compound probability of two independent events, you multiply the probabilities of each event. In this case, P(A) = 1/2 and P(B) = 1/2. So the probability of both A and B occurring is 1/4.
Step-by-step explanation:
To find the compound probability of two independent events, you multiply the probabilities of each event. In this case, P(A) = 1/2 and P(B) = 1/2. So to find P(A and B), you multiply 1/2 by 1/2:
P(A and B) = P(A) * P(B) = (1/2) * (1/2) = 1/4
Therefore, the answer is B. 1/4.