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3 years ago

6

A bag had 3 pink marbles and 4 purple marbles find the probability of selecting 3 pink marbles without replacement

1 answer:

Klio2033 [76]3 years ago

7 0

There are 7 marbles in the bag.
The probability of drawing a pink one is (3/7) .

Then you have 1 pink one, and there are 6 marbles in the bag.
The probability of drawing a pink one is (2/6) .

Then you have 2 pink ones, and there are 5 marbles in the bag.
The probability of drawing a pink one is (1/5) .

The probability of all 3 draws being successful is

(3/7) (2/6) (1/5) = 6/210 = 1/35 = about 2.86% (rounded)

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