easy   Probability

Distinct Gloves

A release-checked easy problem for training Combinations and Permutations.

Question

$3$ blue and $n$ green gloves are in a box. Suppose that if we draw two gloves from the box without replacement then the probability of drawing $2$ blue gloves is $1/2$. If this is the case, then what value must $n$ be?

Practice focus

This Probability problem is tagged Combinations and Permutations. State the random variables and conditioning information explicitly, then check the result against boundary cases before opening hints or a solution.

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