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 Originally Posted by oskar
No, because you don't win 200 when you win. The amount you win is what you get minus what you invested.
Just take the coinflip example, if you and villain each put $1 on the hand then 50% you're going to win $1 and 50% you loose $1, so (0.5 x $1) - (0.5 x $1) - if it were like you said then the EV would be 0.5x2 - 0.5x1, which of course can't be correct, because we know the EV for this scenario is 0.
Unless you use the altered formula I described in my above response:
EV = (% you win)(total 'pot') - (amount you lose)
Which in this case you are winning the total 'pot' of $2 on average 50% of the time. And losing $1 on average 50% of the time. So the formula looks like:
EV = (0.50)(2) - 1
EV = 1 - 1
EV = $0.
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