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A friend invites you to play a new gambling game. You roll a standard dice (a six-sided cube, where each face of the cube is
A friend invites you to play a new gambling game. You roll a standard dice (a six-sided cube, where each face of the cube is inscribed with a number ranging from one to six). You receive in dollars whatever number you roll.
Imagine the rules were changed such that rolling even numbers pays out zero dollars, but rolling odd numbers pays out twice the number that is rolled. Does this increase or decrease the expected value of playing the game?
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