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Old 02-17-2003, 09:40 PM
Junior Member
Join Date: Feb 2003
Posts: 5
Default board pairing

is the board in holdem favored to pair or not. If it is? by how much. Wopuld You please wlk me thrugh Your calculations. Thank You
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Old 02-18-2003, 01:13 AM
BruceZ BruceZ is offline
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Join Date: Sep 2002
Posts: 1,636
Default Re: board pairing

The board is a slight favorite to be unpaired in 5 cards. The number of unpaired boards counting every order the cards can occur in is 52*48*44*40*36. The number of total boards is 52*51*50*49*48. The ratio is 50.7% unpaired boards.
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Old 02-20-2003, 02:29 AM
morgan morgan is offline
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Join Date: Jan 2003
Location: New York, NY
Posts: 111
Default Re: board pairing

If the flop is unpaired then the chance the board will remain unpaired at the river is 61.2%. The calculation is the same as Bruce's, just with the last two numbers: 40*36 / 49*48

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