Two boys have identical piggy banks. The older boy has 18 quarters and 12 dimes in his;

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Two boys have identical piggy banks. The older boy has 18 quarters and 12 dimes in his; the younger boy, 2 quarters and 8 dimes. One day the two banks get mixed up. You pick up a bank at random and shake it until a coin comes out.

What is the probability that you get a quarter? Note that there are 20 quarters and 20 dimes in all.

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