2. 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. ННН ННТ НTT TTT ΗΤΗ ΤΗΤ THΗ ΤTH 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: 1 Homework - 4 (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? 2.

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2. 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.
ННН
ННТ
HTT
TTT
ΗΤΗ
ΤΗΤ
THΗ
ΤΤΗ
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:
1
Homework - 4
(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?
2.
Transcribed Image Text:2. 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. ННН ННТ HTT TTT ΗΤΗ ΤΗΤ THΗ ΤΤΗ 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: 1 Homework - 4 (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? 2.
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