Question

Consider the following scenario: There are three cups which are turned upside down. Beneath two of...

Consider the following scenario: There are three cups which are turned upside down. Beneath two of the cups is a piece of chocolate; the last cup has nothing underneath it. You are free to choose which cup you want to turn over. What is the probability that you will first choose a cup with chocolate then, on the next choice, choose the second cup with chocolate? (After the first cup is turned over, it is not replaced.)

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Answer #1

P(First choose a cup with chocolate then, on the next choice, choose the second cup with chocolate)

= P(First cup chocolate)*P(Second cup chocolate | First cup chocolate)

= (2/3)*(1/2)

= 1/3

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