In a recent article in American Scientist, Theodore Hill described a coin-tossing game whose pay-off is the number
of heads over the total number of throws. Suppose that at a given point during the game you have 5 heads and 3 tails,
should you stop and get 5/8, or should you keep playing, hoping to get a better score? This is still an open problem.
In the present article, we explore different strategies to this game from the Experimental Mathematics perspective.
Julian Wiseman
Julian Wiseman provided an estimate that explains why it is good to stop when you have 5 heads and 3 tails.
