Question: 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

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?

HTH THT THH TTH

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