A bag contains 10 red marbles, 15 yellow marbles, 5 green marbles, and 20 blue marbles. Five marbles are drawn from the bag.What is the approximate probability that exactly two of the five are blue?

There are 20 blue marbles and 30 non-blue marbles among 50 total. The number of ways to draw exactly two blue marbles and three non-blue marbles is C(20,2) × C(30,3) = 771,400; the number of ways to draw any five marbles is C(50,5) = 2,118,760. Dividing gives about 0.364, or 36%, so the approximate probability is 36%.

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