If in the final round of Jeopardy, there is one one other person left, with $8000, if we ignore the case where you guess wrong and your opponent guesses right, how much do you need to assure winning?
This makes for a good high school level algebra problem. Obviously, if you had more than $16,000, you could be always win by not wagering anything. If we eliminate the possibility of you guessing wrong and your opponent guessing right, you need a somewhat smaller amount to guarantee a win.
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