Assume cash game 100bb effective stacks.
Hero is UTG and raises 2.75bb.
SB posts 0.5bb
BB calls 2.75bb.
(Pot 6bb)
Flop: 9
6
2
Hero's range is: 55+,AT+,KJs+,QJs.
BB's range is 100%.
Can you construct a theoretically perfect range that cbets 2/3 pot?
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For example, Hero bets 2/3p to win p so if hero wins more than [(2/3)/(1+(2/3))]=2/5 or 40% of the time then hero can cbet 100% of his range. Thus BB must defend at least 40% of their range on this flop. What do we do next? Do we construct a value range that is ahead of a 40% continuing range and then balance with bluffs? But how many bluff combos do we choose? Say for example if we are betting 99+ which is 33 combos, how many bluff combos do we need?
Thanks for any help, I have only vague ideas about how many bluffs combos we need and I've never seen an example like this completely solved.