Re: Holdem Math(read M. Petriv\'s Book)
Steve,
Hold'em's Odds Book, by Mike Petriv, is a great reference that explains hold'em probability in simple terms.
He shows the odds of flopping exactly one pair with AK thusly: Total # of 3-card combos (flops to AK)=50*49*48/3*2*1=19600.
Take out 4 Aces & 4 Kings, and the # of 2-card combos=44*43/2*1=946.
Each of those 2-card combos can have as its 3rd card one of the 6 Aces or Kings you don't hold, so total # of ONE PAIR flops (Kxx or Axx)is 6*946=5676.
Probability of one pair on the flop w/ any 2 cards of different ranks (like AK) is 19600/5676= 29%!
I hope you can follow this; I've shortened it to reduce my typing. His version is very easy to follow.
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