A self-proclaimed psychic was challenged by some scientists to demonstrate his supernatural powers. The scientists asked him to guess the suit of 8...

A self-proclaimed psychic was challenged by some scientists to demonstrate

his supernatural powers. The scientists asked him to guess the suit of 8

cards randomly drawn from a deck of cards. The self-proclaimed psychic

is able to correctly predict 3 out of 8 of the cards drawn which he takes

as scientific proof of his telepathic powers. What is the probability that

one would correctly guess 3 out of 8 by guessing randomly. Does that

probability show that the self-proclaimed psychic has telepathic abilities ?