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.

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. No, because there are more than two mutually exclusive outcomes for each trial.

B. No, because the experiment is not performed a fixed number of times.

C. No, because the trials of the experiment are not independent and the probability of success differs from trial to trial.

D. Yes, because the experiment satisfies all the criteria for a binomial experiment.

Explanation / Answer

Solution:

Four cards are selected from a standard 52-card deck without replacement. The number of queens selected is recorded.

C. No, because the trials of the experiment are not independent and the probability of success differs from trial to trial.

Explanation:

In the given situation, the probability that recording the heart card is not same for each and every trail. Also, the deck of cards are not independent of each other.

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