A psychic network received phone calls last year from over 1.5 million people. A

Question

A psychic network received phone calls last year from over 1.5 million people. A recent article attempts to shed some light onto the credibility of the physic network. Five different cards are shuffled and one is chosen at random. The psychic will then try to identify which cars was drawn without seeing it. Assume that the experiment was repeated 60 times and that the results of any two experiments are independent of one another. If we assume that the psychic is a fake and is merely guessing at the cards how many of the 60 cards do we expect the psychic to guess correctly? A psychic network received phone calls last year from over 1.5 million people. A recent article attempts to shed some light onto the credibility of the physic network. Five different cards are shuffled and one is chosen at random. The psychic will then try to identify which cars was drawn without seeing it. Assume that the experiment was repeated 60 times and that the results of any two experiments are independent of one another. If we assume that the psychic is a fake and is merely guessing at the cards how many of the 60 cards do we expect the psychic to guess correctly?

Explanation / Answer

here n = 60 and p = 0.2 because 1/5 chance of correct from random guess

We expect 20% correct, i.e, n*p = 60*0.2 = 12

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