Suppose a "psychic" is being tested to determine if she isreally psychic. A person in another room concentrates on one offive colored cards, and the psychic is asked to identify the color.Assume that the person is not psychic and is guessing on eachtrial. Define a success as "psychic identifies correct color". (a)What is p, the probability of success on a single trial? (show 1decimal place) (b) If we conduct 10 trials, what is the probabilitythat the psychic guesses zero or one of the colors correctly? (show2 decimal places) (c) What is the mean or expected value of X, thenumber of correct answers out of 10 trials?