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 acesaces selected is recorded. Does the probability experiment represent a binomial​ experiment?

Answer 1

No. See explanation below.

Explanation:

Since the cards are being selected without replacement, every time we select a card, the probability varies (since there is one less card) and therefore, the probability doesn't remain the same for every trial and therefore, the probability of success changes for every trial.

It is because of this that this probability experiment doesn't represent a binomial experiment.