# Variance of the distribution

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Audience members at a magic show are asked to guess the suits of 20 successive playing cards drawn from a well-shuffled deck. What is the variance of the distribution of correct answers from the audience?

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#### Solution Preview

There are 4 suits in a deck of playing cards, so (assuming the audience doesn't have a psychic in it), the probability of a correct answer is 0.25.

This scenario is an example of a binomial experiment: For each card, there are two possible ...

#### Solution Summary

The solution provides a step-by-step explanation of what is the variance of the distribution of correct answers from the audience who were asked to guess the suits of 20 successive playing cards drawn from a well-shuffled deck.

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