Probability

84 Cards

Difficulty
In a game, there is a deck of 84 distinct cards, each labeled with a value from 1 to 84. A dealer shuffles the deck and deals the top 5 cards. If these top 5 cards are in strictly ascending or descending order, the player wins a payout of $\(x\); otherwise, they win nothing. The cost to play the game is $1. What should the value of $\(x\) be for the game to be fair?
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