(14.16) In a test for ESP (extrasensory perception), a subject is told that card

Question

(14.16) In a test for ESP (extrasensory perception), a subject is told that cards the experimenter can see but he cannot contain either a star, a circle, a wave, or a square. As the experimenter looks at each of 5 cards in turn, the subject names the shape on the card. A subject who is just guessing has probability 0.25 of guessing correctly on each card.

If the subject guesses 4 shapes correctly and 1 incorrectly, in how many ways can you arrange the sequence of correct and incorrect guesses?

Number of ways is

Explanation / Answer

Here, we use the concept of combinations.

Out of 5 guesses the subject makes 4 guesses correct.

Number of ways = 5C4 = 5! /(4! * 1! ) = 5 ways

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