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Originally Posted by greybeard33
Irrelevant to what?
Irrelevant to your odds for raising.
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If you call, you win $300 + $80 + $80, right?
There are seven small bets plus the small blind in the pot after the first two betting rounds. That amounts to $300. This is the third betting round. I don't know about the $80+$80 because the betting won't be over until the end of the fourth betting round. (I think you'll actually win another $80 with a favorable card on the river because I think your opponent will be "stuck in the pot" because of the size of the pot and will call your river bet). But OK, I'll accept your $460 as how much you'll win.
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And then you lose the $80 on an unfavorable river. So x% you win $460 and (x-1)% you lose $80,
No. x% you win $460 and (100-X)% you lose $80.
Or you could use fractions and say x you'll win $460 and (1-x) you'll lose $80.
I don't follow. That doesn't look correct to me.
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Again, I'm simplifying the scenario so it assumes no more money goes in on the river - you fold to low non-diamonds and they fold to high cards.
I wouldn't do that, but OK.
A 20% chance of winning means you expect to win one time in five and lose the other four times in five. Right?
Suppose
a. you have a 20% chance of scooping the whole pot,
b. there will be $460 in the pot at the showdown,
c. the bet to you is $80, and
d. that's your last $80.
If there will be $460 in the pot on the river, then the one time in five you win, you will win $460. And the four times you lose, you will lose a total of $320. Since you will win more dollars than you will lose, you have favorable odds to
call.
But if
a. you only expect to win one time in five,
b. you only win $80 more when you win, and
c. it costs you $80 to raise,
then the four times out of five you lose, you'll lose a total of $320 more (than if you had not bet) and the one time you win, you'll only win $80 more.
If you only expect to win one time in five, to do more than call, you need
four opponents putting
an equal amount of fresh money into the pot.
Thus there can be enough money already in the pot so that you have favorable odds to call, while at the same time you have unfavorable odds to raise. That's being "stuck in the pot," and it's fairly common in fixed-limit poker, albeit rarer in pot-limit or no-limit poker.
Buzz