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When facing an "at least one of" problem, you can't just add probabilities. You have to calculate the probability of missing everything, then subtract from one. Assuming 47 unknown cards, 6 of which are outs, the exact probability of missing both the turn and river is 41/47 * 41/46, or 1681/2162, so the probability of hitting either or both the turn and ...
Sometimes during play you want a quicker method that isn't 100% but gives you very close percentages. The rule of 2 and 4. If you have 2 cards left to reveal (ie the turn & river) then you multiply your outs by 4. If you have 1 cards left to reveal (ie just the river) then you multiply your outs by 2. So in your example, 6 outs with 2 chances left = ...
Your VP would still be 33% as you could have raised/called when you were in SB and BB - the tracker will only exclude walks where action was folded round to your BB. As for the PFR, this generally means 2-bets so will also be 33% given you raised once out of three hands where you had the option to. Your 3-bet and 4-bet stats are recorded separately and ...
It is in this link Poker_probability c(4,1) * c(5,5) * c(47,2) / c(52,7) = 0.0000323206 = 30939 : 1 4 flushes * exactly 5 cards * 47 remaining cards for the other 2 c is combination It is combin in Excel
There are far too many situations you'd need to work out to calculate by hand. 1a. Just for AQo vs P1 & P2 range, the permutations of hand matchups is already huge. P1 range: 40% x 1326 = 530 hands P2 range: 10% x 1326 = 133 hands 530x133 = 70,490 match ups 1b. And each one of those would still be too difficult to calculate for the ...
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