# Question

Jane Doe claims to possess extrasensory perception (ESP). She says she can guess more often than not the outcome of a flip of a balanced coin in another room. In an experiment, a coin is flipped three times. If she does not actually have ESP, find the probability distribution of the number of her correct guesses.

a. Do this by constructing a sample space, finding the probability for each point, and using them to construct the probability distribution.

b. Do this using the formula for the binomial distribution.

a. Do this by constructing a sample space, finding the probability for each point, and using them to construct the probability distribution.

b. Do this using the formula for the binomial distribution.

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