Question 1122899: A gumball machine contains 63 gumballs. Some are purple and the rest are yellow. There are 6 times as many purple gumballs as yellow. Because the purple gumballs are slightly smaller than the yellow, each purple gumball is 2 times as likely to be dispensed as each yellow gumball.
An experiment consists of the machine dispensing one gumball. Let each gumball be considered one outcome.
What weight should be assigned to each purple gumball?
What is the probability of the event that a yellow gumball is dispensed?
Enter your answers as whole numbers or fractions in lowest terms.
Answer by Boreal(15235)   (Show Source):
You can put this solution on YOUR website! yellow=x
purple=6x
7x=63, x=9 yellow and 6x=54 purple gumboils
by themselves, purple can be 6 times as likely, but in addition, they are twice as likely to be dispensed. This means that purple, already 6 times more likely to be dispensed, will have an additional two-fold increase in being dispensed, or 12 times as likely. ANSWER
probability of purple is 12/13 or 0.9231
probability of yellow is 0.0769 or 1/13
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