Question

A bag contains 40 jellybeans with 5 different colors. Each color is equally represented. You are interested in randomly drawing one jellybean at a time and checking the color before eating it. You want to know how many red jelly beans you will pull out of the bag during the first 10 draws. Can the probability be found by using the binomial probability formula? Why or why not?

A. No. The trials are fixed, but the events are independent.
B. Yes. The trials are fixed and the probability of success remains the same for every trial.
C. Yes. The events are dependent; however, the 5% guideline can be applied to this situation.
D. No. The events are dependent, and the 5% guideline cannot be applied to this situation.

Answer 1

D. No. The events are dependent, and the 5% guideline cannot be applied to this situation.

Explanation:

Given that a bag contains 40 jellybeans with 5 different colors. Each color is equally represented. You are interested in randomly drawing one jellybean at a time and checking the color before eating it. You want to know how many red jelly beans you will pull out of the bag during the first 10 draws

The trials cannot be said to be independent because the first draw affects the probability for second draw. In other words, p probability for success in one trial is not a constant.

Hence the probability cannot be found by using the binomial probability formula

D. No. The events are dependent, and the 5% guideline cannot be applied to this situation.