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Assume you are flipping an unbiased coin and that the flipping process is entirely random. a psychic claims that he can sense the outcome of each flip. you put him to the test. you flip the coin 6 times and guess what? the psychic correctly calls the outcome each time. if the psychic is really only guessing on each flip, what is the probability of his being correct six out of six times?

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The number of possible outcomes of the 6 flips is:[tex]2^{6}=64[/tex]
Only one of the possible outcomes is 'correct'.
Therefore the probability of the psychic calling the correct outcome on each of the six flips is 1/64.
The answer is [tex]\frac{1}{64}[/tex]

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