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A bag contains 6 red marbles, 4 blue marbles and 7 green marbles. If three marbles are drawn out of the bag, what is the probability, to the nearest 1000th, that all three marbles drawn will be red?

User RredCat
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1 Answer

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At first, there are a total of 17 marbles in the bag.

The probability of pulling out the first red marble = 6/17.

The probability of pulling out the second red marble = (6-1)/(17-1) = 5/16

The probability of pulling out the third red marble = (5-1)/(16-1) = 4/15

Because we need these 3 events to happen consecutively, the probability of it happening = 6/17 x 5/16 x 4/15 = 0.029% (nearest thousandth).

User Parth Jasani
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