Consider the following experiment: A coin will be tossed twice. If both tosses show heads, the experiment will stop. If one head is obtained in the two tosses, the coin will be tossed one more time, and in the case of both tails in the two tosses, the coin will be tossed two more times.
(a) Make a tree diagram and list the sample space.
(b) Give the composition of the following events.
A = [Two heads] B = [Two tails]