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.

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.

i believe it's a.

i'm not sure on this one, most likely correct.

step-by-step explanation:

points a and b are equidistant from the desired line, so the line you find by using them will go through point r.

using points other than a and b will give the desired line only if they are equidistant from r. if they are randomly located, the perpendicular line you create will not necessarily go through point r, hence will not be a solution to the problem.