Quote:
Originally Posted by inmyrav
I understand in math it doesn't matter. I just don't see how the loss on the one scooping event is made up for. Do you gain two chops by rit then? How? Sorry I'm dumb I just don't get it.
Let's say we are playing HUNL, and we get allin on the turn, my 99 vs your 77 on K974. Pot is $100.
8 cards are known, 44 unknown. If we run it once, you will win 1/44 times, which is 2.27% of the time. Your equity in the pot is $2.27. So if I take $97.73 and you take $2.27, that is exactly fair. Running it once will mean I almost always end with $100 and you with $0, and 2.27% of the time, I end with $0 and you end with $100.
If we run it twice, you can't scoop anymore. But now, you will chop 5.55% of the time, by winning one river and not the other. So instead of 97% I get $100 and you get $0, now 95% I get $100 and you get $0, and 5% we each get $50.
If we run it ten times, now the best you can have at the end of the hand is $10, but you will have that $10 almost a quarter of the time, as opposed to RIO where the best you can have is $100, but will only have that 2.27% of the time.
Your average stack after the hand, no matter how many times we run the river, is $2.27.