Re: is the EV for this game really infinity?
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ahhh i just got it after i posted it
the EV for the game is not the sum of the EVs, but it's just 1 of the EVs, hence the EV of the game is 1 since you only get 1 pay out
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I believe someone already said this, but this is wrong. The EV of the game is infinity, but the reason we are not willing to play this game for millions of dollars is utility.
Think about the following scenario...
You have a choice between these two cases:
You can have a 100% shot of winning 100 million,
or a 10% shot of winning 2 billion.
Which do you choose? Which one gives you the higher EV?
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