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Quick math checkup: Ranges
Hi, I’m trying to master the math behind calculating hand ranges. To practice, I came up with this one. Is it any good?
What is the probability of a player having made a straight on a QcJdTh flop given that his preflop range is 22+,ATs+,KQs,QJs,JTs,T9s,98s,87s,76s,65s,54s,ATo+, KQo,QJo,JTo? AK(s) and 98s make a straight, a total of 12+4+4=20 combinations. The preflop range has 13x6(pocketpairs)+6x12(off-suit hands)+12x4(suited hands)=198 combinations. To get the denominator we have to subtract the hands cancelled out by the flop. These are: 1 pair hands: AxTh,AxJd,AxQc,KxQc,T9h9 ,which make (4x7+1)=29 combinations. 2 pair hands:QxJc,Qd,JxTh,JdTx, which make(2x12)=24 combinations. Sets: QxQc,JxJd,TxTh, which make (3x3)=9 combinations. So the denominator is 198-29-24-9=136. Divide de straight possibilities by the denominator: 20/136=0.147 or 14.7% Another question I have is if perhaps anyone knows of a program better then pokerstove so it allows you to make calculations like this one? Thanks! |
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