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Answered 2011-02-22 16:16:18

Each flip can come up in either one of 2 ways. So the number of different histories

of three flips is 2 x 2 x 2 = 8 .

One tails can come up in 3 ways in 3 flips: (H H T, H T H, or T H H).

Probability of one tails is 3/8 = 37.5% .

Two tails can happen in 3 ways in 3 flips: (H T T, T T H, or T H T).

Probability of two tails is 3/8 = 37.5% .

Three tails can only happen one way in 3 flips: T T T.

Probability of three tails = 1/8 = 12.5% .

No tails can only happen one way in 3 flips: H H H.

Probability of no tails = 1/8 = 12.5% .

The probability of any tails (1 or 2 or 3) is 7/8 = 87.5% .

The probability of 2 or 3 tails is 4/8 = 50% .

The probability of 1 or 3 tails is 4/8 = 50% .

The probability of no tails or any tails is 8/8 = 100% .

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