Question

Cards are drawn with replacement from a standard deck until a king is drawn. does this constitute a binomial​ experiment? why or why​ not? choose the correct answer below.

a. ​yes, because there are three independent draws. for each draw there are two outcomes​ (king and not​ king) and a constant probability of getting a king.
b. ​no, because there is not a fixed number of trials.
c. ​no, because there are more than two outcomes each time a card is drawn.
d. ​no, because the probability of getting a king will change from one trial to the next.

Answer 1

The correct answer is B) No, because there is not a fixed number of trials.

Answer 2

Given :Cards are drawn with replacement from a standard deck until a king is drawn.For each trial there are 13 possible outcomes.If we consider binomial experiment there will be two outcomes. The cards are drawn with replacement that is the number of outcomes are not independent.This does not fulfill property of binomial experiment .

A binomial experiment is a statistical experiment that has the following properties: The experiment consists of n repeated trials. Each trial can result in just two possible outcomes

Among the given options ,Option b. ​no, because there is not a fixed number of trials is the right answer.