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If four marbles are drawn at random, what is the probability that two are blue and two are red?
Out of five blue marbles two can be choosen in 5C2 ways
Out of two red marbles two can be choosen in 2C2 ways
So the probability of choosing two blue and two red marbles is = (5C2 x 2C2)/14C4 = $$\frac{10}{1001}$$
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