What is the probability of getting two heads and one tail when a fair coin is tossed three times?

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Answer

1261921

2026-08-03 13:45

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If the sequence matters (you want H-H-T in that order), then . . .

Probability of the first head = 0.5

Probability of the second head = 0.5

Probability of the tail on the 3rd toss = 0.5

Probability of the correct 3-toss sequence = (0.5 x 0.5 x 0.5) = 1/8 = 0.125 = 12.5%

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If the sequence doesn't matter, then the probability is higher.

All the possible results of 3 tosses are:

TTT

TTH

THT

THH

HTT

HTH

HHT

HHH

If the sequence doesn't matter, there are 3 different ways to get 2 heads and 1 tail.

The probability is

3/8 = 0.375 = 37.5%

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