Jane StreetTraderQuantitative TraderQuestion #123

I play a game where I start with a score of 100. I then flip 10 coins in a row. Every time I get a head, I add 1 to my score. When I get a tails, I take the reciprocal of my score. If you are running this game, and people are given their score in pounds at the end of the game, how much would you charge people to play?

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