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Assume the coin is fair, so there are equal amount of probabilities for the choices.

There are two possible choices for a flip of a fair coin - either a head or a tail. The probability of getting a head is ½. Similarly, the probability of getting a tail is ½.

Use Binomial to work out this problem. You should get:

(5 choose 4)(½)4(½).

  • (5 choose 4) indicates the total number of ways to obtain 4 tails in 5 flips.
  • (½)4 indicates the probability of obtaining 4 tails.
  • (½) indicates the probability of obtaining the remaining number of head.

Therefore, the probability is 5/32.

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