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If you assume that the odds of winning are the same, the payoff ratio is the same, and that you don't play again with anything you win, then the expected result
by delecti 11y ago
If you assume that the odds of winning are the same, the payoff ratio is the same, and that you don't play again with anything you win, then the expected results are exactly the same.
If someone is going to keep playing with their winnings, they're likely to do so either way.
- Retric 11y agoEV is not the only number, your describing an average and the standard diviation is important. Ex: if you have a slight negative bias say 50:50 to win 1.999x and play a trillion games your going to flat out lose money with Effectivly zero % chance of winning.
- delecti 11y agoBut if you play 1 game with a trillion times the bet, you have a 50% chance of walking away with 1.999x your bet, and a 50% chance of walking away with 0. So about a 50% chance to nearly double your bet, and a 50% chance to lose. Whereas with a trillion smaller games you'll probably end up at about 0.999x your starting money, which is the same on average.