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Determine whether the following probability experiment represents a binomial exp

ID: 3133374 • Letter: D

Question

Determine whether the following probability experiment represents a binomial experiment and explain the reason for your answer. Four cards are selected from a standard 52-card deck without replacement. The number of queens selected is recorded. Does the probability experiment represent a binomial experiment? A. Yes, because the experiment satisfies all the criteria for a binomial experiment. B. No, because the experiment is not performed a fixed number of times. C. No, because there are more than two mutually exclusive outcomes for each trial. D. No, because the trials of the experiment are not independent and the probability of success differs from trial to trial.

Explanation / Answer

The correct answer is D because cards are selected without replacement and this changes sample space after each draw. Therefore, probability of success changes from trial to trial.

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