12) A basketball player has a 50% chance of
making each free throw. What is the
probability that the player makes at most
eight out of ten free throws?

There are 12 ways the player can make 11 shots and miss one shot, and there is 1 way the player can make all shots, so there is a total of 13 ways that the player makes at least 11 out of 12 free throws.

The total number of possibilities for the free throws is 2^12 = 4096

Therefore, the probability that the player makes at least 11 out of 12 free throws is 13/4096

12) A basketball player has a 50% chance of making each free throw. What is the probability that the player makes at most eight out of ten free throws?

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12) A basketball player has a 50% chance of
making each free throw. What is the
probability that the player makes at most
eight out of ten free throws?