A bag contains 12 yellow and 8 purple marbles. Joe pays $2 for the opportunity...
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A bag contains 12 yellow and 8 purple marbles. Joe pays $2 for the opportunity to pick a marble from the bag. If he picks a yellow marble, he does not get anything. If he picks a purple marble, he gets $k. The game is fair. Find the value of k. Give an exact answer. Do not include the dollar sign in your answer.
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