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A gumball machine contains 56 gumballs. Some are purple and the rest are yellow. There are...

A gumball machine contains 56 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 3 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 yellow ball?
What is the probability of the event that a yellow gumball is dispensed?

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