Certainty Equivalent: Two FSU Bets

Florida State has two upcoming games with very different odds. For each one, you’ll tell us the smallest guaranteed dollar amount you’d take instead of a bet on the game — the amount that makes you exactly indifferent between the guarantee and the bet.

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Game 1: FSU vs. Central Arkansas

A statistician estimates FSU has about a 99% chance of winning. Picture that as 100 equally likely alternate versions of this week's game — in about 99 of them, FSU wins; in about 1, Central Arkansas wins.

 

Consider a bet: you get $8 if FSU wins, $0 if Central Arkansas wins. What guaranteed amount makes you indifferent between that amount for sure, or the bet?

Game 2: FSU at Louisville

A statistician estimates FSU has about a 68% chance of winning. In about 68 of 100 equally likely alternate versions of this game, FSU wins; in about 32, Louisville wins.

 

Same kind of bet: you get $8 if FSU wins, $0 if Louisville wins. What guaranteed amount makes you indifferent between that amount for sure, or the bet?