Question: A test developed to measure ESP involves using Zener cards. Each card shows one of five equally likely symbols (square, circle, star, cross, wavy lines),

A test developed to measure ESP involves using Zener cards. Each card shows one of five equally likely symbols (square, circle, star, cross, wavy lines), and the person being tested has to predict the shape on each card before it is selected. Find each of the probabilities requested for a person who has no ESP and is just guessing.

a. What is the probability of correctly predicting exactly 20 cards in a series of 100 trials?

b. What is the probability of correctly predicting 10 or more cards in a series of 36 trials?

c. What is the probability of correctly predicting more than 16 cards in a series of 64 trials?

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