A cooler contains 11 cans of soda; 5 colas, 5 orange, and 1 cherry. Two cans are selected at random without replacement. Find the probability that at least one can is cola.

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asked Jun 24, 2017 64.9k views

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VizFlux · Answer 1 · 2017-06-24T05:30:46+0000

Chance that the first can chosen is cherry is 1/11.
Chance that the first can chosen is not cherry and the second can chosen is cherry is (10/11)(1/10) = 1/11.
So the required probability is 1/11 + 1/11 = 2/11.

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A cooler contains 11 cans of soda; 5 colas, 5 orange, and 1 cherry. Two cans are selected at random without replacement. Find the probability that at least one can is cola.

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