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

Question

Quizplus · Accepted Answer

The probability of Sue getting a red gumball is 100/400 or 1/4. After Sue takes one gumball, there will be 99 red gumballs left out of a total of 399. Therefore, the probability of Jim getting a red gumball after Sue takes one is 99/399. To find the probability of both events occurring, we multiply the probabilities: (1/4) x (99/399) = 99/15960, which simplifies to approximately 0.062 or 6.2%. Therefore, the correct answer is B.

A Gumball Machine Has Just Been Filled with 50 Black,150