A guimball machine has just been filled with 50 black, 150white, 100 red and 100

Question

A guimball machine has just been filled with 50 black, 150white, 100 red and 100 yellow gum balls that have been thoroughlymixed. Sue and Jim approached the machine first. They bothsaid they wanted red gum balls. What is the likelihood theywill get ttheir wish? A. 0.50 B. 0.062 C. 0.33 D. 0.75 A guimball machine has just been filled with 50 black, 150white, 100 red and 100 yellow gum balls that have been thoroughlymixed. Sue and Jim approached the machine first. They bothsaid they wanted red gum balls. What is the likelihood theywill get ttheir wish? A. 0.50 B. 0.062 C. 0.33 D. 0.75

Explanation / Answer

Solution: The answer is B. There are 400 gumballs in the machine and 100 of those are redgumballs. So, the probability that you will get the first gumball to be redis 100 / 400 = 0.25 = 25% But since you want a second gumball, there are 399 gumballs left inthe machine with 99 of those being red. So, the probability that you will get the 2nd gumball to be red 99/ 399 ˜ .2481 = 24.81% However, since you want to the event to be in succession or sinceyou want 2 red gumballs, Therefore, the probability of getting 2 red gumballs is 0.25 *0.2481 ˜ 0.062 = 6.2%, which is B.

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