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9 August, 22:08

A cooler contains eleven bottles of sports drink: four lemon-lime flavored and seven orange flavored. you randomly grab a bottle and give it to your friend. then, you randomly grab a bottle for yourself. you and your friend both get lemon-lime. find the probability of this occurring.

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  1. 9 August, 22:10
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    The probability that you will choose a lemon-lime for your friend is the number of lemon-limes divided by the total number of drinks, 4/11.

    The probability that you will subsequently choose one for yourself is the same ratio with different numbers (because a lemon-lime has already been selected), 3/10.

    The probability of both of these events occurring is the product of their individual probabilities: (4/11) · (3/10) = 6/55
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