Question: Three Coins The sample shows the possible sequences for flipping three fair coins or flipping one coin three times, where H stands for heads and T stands for tails.
Assume that all of the 8 outcomes are equally likely. Find the probability of having exactly the following numbers of heads out of the 3 coins:
(a) exactly 0 heads,
(b) exactly 1 head,
(c) exactly 2 heads,
(d) exactly 3 heads.
(e) What do the four probabilities add up to and why?