[BruceZ]

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can somebody tell me what this is and how to calculate it? I know that there are 117,600 possible flops. Given a hand like J [img]/images/graemlins/spade.gif[/img]2 [img]/images/graemlins/diamond.gif[/img], what are my odds of flopping 2 pair or better?

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2-pair J2x: 3*3*44 = 396 (3 jacks, 3 deuces, 44 other)

trips JJx, 22x: 2*3*44 = 264 (3 ways to choose 2 jacks and 44 other, or 3 ways to choose 2 deuces and 44 other)

full house: 2*3*3 = 18 (3 ways to choose 2 jacks times 3 ways to choose 1 deuce, or 3 ways to choose 2 deuces times 3 ways to choose 1 jack)

quads: 2

There are only 19,600 flops if you ignore the order of the cards.

(396 + 264 + 18 + 2) / 19600 =~ 3.5% or 27.8-to-1


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And what are my odds with a hand like J[img]/images/graemlins/spade.gif[/img]2[img]/images/graemlins/spade.gif[/img] of flopping 2 pair or better?

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flush: C(11,3) = 11*10*9/6 = 165

(396 + 264 + 18 + 2 + 165) / 19600 =~ 4.3% or 22.2-to-1