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GMAT Problem Solving (PS) | A gum ball dispenser has 24 gum balls: 12 white and 12 black, which

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Bunuel wrote:

A gum ball dispenser has 24 gum balls: 12 white and 12 black, which are dispensed at random. If the first three gum balls dispensed are black, what is the probability that the next two gum balls dispensed will also be black?

(A) 6/35
(B) 4/15
(C) 1/3
(D) 3/7
(E) 1/2

First three gumballs dispensed were black. That info yields two changes:

1. The total number of gumballs decreases from 24 to 21; and

2. The number of black gumballs decreases from 12 to 9

What is the probability that the next two
...

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