If a fair coin is flipped six times in a row, what is the probability that there will be at least one head and one tail? Choices.
A) 3/4 B) 11/12 C) 15/16 D) 31/32 E) 63/64
The number of possible outcomes is 2^6 = 64   There is one way to get no heads and one way to get no tails.   Thus there are 62 outcomes with at least one head and one tail.   P(at least one head and one tail) = 62/64 = 31/32   The answer is 31/32.
<result>D</result>
If a fair coin is flipped six times in a row, what is the probability that there will be at least one head and one tail?