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Question

At a carnival booth, one can play the following card game. To play, you must pay $2. If you win, you get $4 (a net

gain of $2). If you lose, then the $2 fee is forfeited. In this game, the dealer draws two cards at random from a standard deck of 52 playing cards. If at least one card is a spade card, then you win; otherwise, you lose. How much money would you expect to gain or lose by playing this game? 

 
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