A gumball machine is filled with 50 black, 150 white, 100 red, and 100 yellow gumballs that have been thoroughly mixed. Sue and Jim each purchased one gumball. What is the likelihood both Sue and Jim get red gumballs?
A)0.50
B)0.062
C)0.33
D)0.75

Question

Quizplus · Accepted Answer

There are a total of 400 gumballs in the machine. The probability of Sue selecting a red gumball is 100/400 or 1/4. After Sue selects a red gumball, there are 99 red gumballs left out of a total of 399 gumballs. Therefore, the probability of Jim selecting a red gumball after Sue has selected one is 99/399 or 11/47. The probability of both events occurring is the product of their individual probabilities: (1/4) x (11/47) = 11/188, which is approximately 0.062. Therefore, the likelihood (or probability) of both Sue and Jim getting red gumballs is 0.062 or 6.2%. Option B is the best choice.

A Gumball Machine Is Filled with 50 Black, 150 White