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Originally Posted by guesswest It's the all-in bit that's significant here I think. I meant that your EV remains constant if you were in for (say) 1000 against 5 players, or 5000 against 1. You have more +EV in this situation against multiple players only because it means the pot is bigger and you're spreading your existing positive expectation over a bigger bet.
I think that's right - am I wrong? Would appreciate clarification if so, I'm not very mathematically minded  |
I'm not quite sure I understand what you mean. Against random hands,
you have about an 85% chance of winning against one opponent and about
a 49% chance of winning against five opponents.
So in the first case, if you both have 5000 chips in the pot, then you have
an EV of about 8500 chips (or an expected profit of 3500 chips).
In the second case, if all six players have 1000 chips in the pot, then you
have an EV of about 2940 chips (or an expected profit of 1940 chips).
About whether it's the all-in bit that's important, I'm a bit confused myself.
I've been meaning to sit down and think through carefully WHY "aces play
better heads-up". I don't doubt it's true, and I have a vague idea why, but
I can't say I REALLY understand it. Certainly the arguments I've seen in
books have seemed very unconvincing to me.