Well, this seems to be a fundamental error on my part. To calculate
his pot odds, his
call is included as part of the pot? Ok, he has to
call .14 and the pot
will be .88, so his odds are .14/.88=15.9% or ≈6.3:1, as you said. My small
raise apparently accomplished nothing, except to make the pot larger and still leave him positive expectation if he has a
flush draw. That sounds like a bad combination.
No you only include his call when you calculate pot odds as a %. When you calculate in the x:y format, then don't. Your initial 5.3:1 was correct. To convert x:y odds to %, do y/(x+y)
I will try that again. There are 13 diamonds - 2 on the
flop = 11. The J♦ would give me a
full house, so that is subtracted also? And he must hold 2 diamonds to be on a 4-
flush. So there are 8 diamonds left that do not give me a
boat. 52 cards - 2 in my hand, 3 in the
flop, and 2 in his hand = 45 remaining cards. 8 diamonds out of 45 cards is 17.78% I suppose this assumes that he does not hold the J♦, in which
case there are 9 diamonds out of 45 cards = 20% or 4:1
break even
pot odds for a
flush draw?
I'
m guessing that I confused you with my previous mathematical error, or you mistyped
35 instead of 45
unknown cards? Is it preferable to assume that he has the J♦, for a worst-
case-scenario calculation of
flush draw pot odds?
Yes I made a mistake, it's 45 cards. I am going to correct this in my post. If you want to take into account that he could be holding the J, then you would count "a little more than 8 outs", like 8.1 or 8.2. On the other hand, he could also hit his flush on the turn and you hit your last 2 on the river. The way to obtain really precise equities is to plug ranges into Pokerstove.
I have the book and am still working on reading it. I found the chapter on bet sizing.
Hmm... ok, he bet .12 into the pot, which was .36, for a total of .48 -- you said 3/4 PSR and I believe you have posted a formula for that, recently... P=pot+B. You say "To make a 2/3rd pot sized
raise, we
raise 2/3rd of P extra on
top of B. So we
raise to B + (2/3) * P." I guess I can substitute 3/4ths for 2/3rds:
"pot" in the formula is the size of the pot just before you play (after he bet), so pot=0.48, not 0.36 and B=0.12...
Raise to B +((3/4)*(pot+B))
Raise to .12 + ((3/4)*(.36+12))
Raise to .12 + ((.75)*(.48))
Raise to .12 + .36
Raise to .48
He must
call .36 into a pot which
will be 1.32 (.48 after his
raise, plus .48, plus .36). That gives him .36/1.32 odds = 27% or 3.66:1. 27% price is greater than 20%
outs, so he is incorrect to
call if the other people in the hand both
fold.
Full PSR:
Pot is .48 + his .12 bet =
raise to .60
Same remark as above
He must
call .48 into a pot which
will be 1.56 (.48 after his
raise, plus .60, plus .48) That gives him .48/1.56 odds = 31% or 3.25:1. If I get one caller out of the two opponents between me and him, then he still is getting .48/2.16 = 22% price : 20%
outs which seems quite narrow since you mentioned
implied odds and oversets.
Have I done this right?
I plugged their ranges into stove with BB having any two diamonds and MP2 having various ranges like {
JJ+,88,AJo,AJs}. I couldn't find any way to bring my
equity to lower than 48% unless I put MP2 on only {
JJ,88}. So '
shove is
standard' because 48%
equity is much greater than 33% of a 3 way
shove?
Yes