Question: if events a and b are independent then the probability they both occur is?
Answer: If A and B are independent, then the probability that events A and B both occur is: p(A and B) ... Two events must occur: a head on the first toss and a head on the second toss. Since the probability of each event is 1/2, the probability of both events is: 1/2 x 1/2 = 1/4.