# 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 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?

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?

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