A carnival game invites a player to select one card from a standard deck of 52 cards.

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A carnival game invites a player to select one card from a standard deck of 52 cards. If the card is a seven or a jack the player is given five dollars. For a king or an ace the player is given eight dollars. The other 36 cards result in the player losing. How much should one be willing to pay to play this game so that it is fair-that is, so that the expected value of the player's net winnings is 0?
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