Re: chances your opponent won\'t have a pair on the flop or turn
Disclaimer: I am a probability ultranoob and will start answering many questions including this one (many incorrectly) in the hopes of improving. My goal is a super in-depth excel workbook with detailed preflop and postflop analyses to help me improve in superaggressive NL SH games.)
Opponent starts with pair (1/52 + 3/51) = 7.805%
Opponent does not start with pair = 1 - 7.805% = 92.195%
-Opponent pairs his nonpaired combination = 6/50 + 6/49 + 6/48 = 36.745 %
Opponent has a pocket pair or has flopped a pair 7.805% + (92.195% * 36.745%) = 41.682%
I hope this much is right, but do not know how to combine this with the assumptions that the flop contains no pair and/or that I fail to flop a pair.
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