Determine whether the following probability experiment represents a binomial exp

Question

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

Explanation / Answer

Option B. No, because the the trials of the experiment are not independent and the probability of success differs from tria; to trial.

For a probability experiment to be a binomial experiment the probablity of success must reamain constant for the trials moreover the trials must be independent.

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