Brainteaser iconBrainteaser - 84 Cards

84 Cards
Probability
IMC, Goldman Sachs
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?