They may have realised they're playing a bad bet and won't let you play again. I kid of course, but the implicit aim of these exercises is always to maximise e

They may have realised they're playing a bad bet and won't let you play again. I kid of course, but the implicit aim of these exercises is always to maximise expected value. The underlying assumption is that you can make a lot of independent bets and the results will average out thanks to the law of large numbers. Suppose you were playing this game 1000 times in parallel. Would you rather average zero profit at the end or $667?