[00Snitch]

[ QUOTE ]
Put villain on a hand range. How often does villain hold a pair and how often does he have two high cards? How often does the flop come down as a "non-high-card flop"? How often does villain's high card catch you on the turn? (Presumably, he's not folding on the flop if it's all undercards.) When the flop comes as a "non-high-card flop", are you able to get away from your pair of 9s if villain keeps attacking (say you have a 853 flop or a J76 flop)?

[/ QUOTE ]

handt done something like this in a while, so i thought i would give it a crack.

i havnt really looked at the hand, so i dont know how these numbers apply. just wanted to see if i could get it right [img]/images/graemlins/tongue.gif[/img]

please correct where wrong.

Hands
----------------
AA - 12
KK - 12
QQ - 12
JJ - 12
TT - 12
AK - 16
AQ - 16
AJ - 16
KQ - 16

16*4 = 64
5*12 = 60
total= 124

48.3% Pair
51.7% High cards

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Flop is all high cards (A,K,Q,J,T)
20/50 * 19/49 * 18/48
= 20*19*18/50*49*48
= 6840/117600
= 5.8%

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At least 1 high card

20/50 + 20/49 + 20/48
= 20*49/50*49 + 20*50/49*50 + 20/48
= 980/2450 + 1000/2450 + 20/48
= 1980/2450 + 20/48
= 1980*20/2450*48 + 20*2450/48*2450
= 39600/117600 + 49000/117600
= 88600/117600
= 75.3%

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Pairing either on flop

6/50 + 6/49 + 6/48
(6*49/50*49 + 6*50/49*50) + 6/48
= 294/2450 + 300/2450 + 6/48
= 594/2450 + 6/48
= 594*48/2450*48 + 6*2450/48*2450
= 28512/117600 + 14700/117600
= 43212/117600
= 36.7%

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Pairing either on flop or turn

43212/117600 + 6/47
= 43212*47/117600*47 + 6*117600/117600*47
= 2030964/5527200 + 705600/5527200
= 2736564/5527200
= 49.5%