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2. A casino offers the following game, which costs $1 to play: A deck of cards is shufed and the top card is turned over.
2. A casino offers the following game, which costs $1 to play: A deck of cards is shufed and the top card is turned over. If the top card is a spade, the player gets the $1 back plus $2 more. If it's not a spade, the player loses the $1. The card is put back in the deck and deck is well shuffled for the next play. A gambler plays the game 75 times. For each part, show all your work, including the box model. (a) After 75 plays, the net gain will be about $ , with a standard error of $ . (b) The gambler will win $2 on around plays out of the 75, with a standard error of plays
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