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Slim and Roy are flipping a unfair coin, where the coin has the chance to land...

Slim and Roy are flipping a unfair coin, where the coin has the chance to land on heads 65% of the time. Every time that the coin lands on heads, Slim gets 500 dollars from Roy, and Roy gets 500 dollars from Slim if the coin lands on tails. If the game is played 100 times (coin is flipped 100 times), what is the probability that Slim's winnings are $20,000 more than Roy's, where 'x' is strictly greater than 20,000 (x > 20,000)?

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