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A test developed to measure ESP involved using Zener cards. Each card shows one of five...

A test developed to measure ESP involved 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 the following probability for a person who does not have ESP and is guessing.

What is the probability of correctly predicting 11 or more cards is a series of 36 trials?

Math   Statistics-And-Probability   
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Answer #1

The probability of a correct guess on any card trial is computed as:
= 1/ Total number of possible card symbols

= 1/5

= 0.2

Therefore the number of correct guesses out of the 36 trials is modelled here as:

The probability of correctly predicting 11 or more cards in a series of 36 trials is computed here as:

Therefore 0.0889 is the required probability here.

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