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33.333%.


This can be calculated in two different ways:


1) The likelihood of the first coin being a state quarter is 2 out of 3, or 66.666%. The likelihood of the second coin being a state quarter is 1 out of 2 (since there are now only two coins to pick from, one a state quarter and the other not), or 50.000%. The likelihood of them both being state quarters is then 66.666% x 50.000%, which equals 33.333%.


2) This is the same question as "what is the likelihood that the coin not chosen is not a state quarter?", which is 1 out of 3, or 33.333%.

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Q: You have two state quarters and one that is not a state quarter. You randomly choose two of them. What is the probability that both coins are state quarters?
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