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what is the the odds my KK will be up against AA preflop
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4.39%. See
inclusion-exclusion as well as a hundred other posts which ask the same thing.
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likewise QQ agaisnt KK or AA in a 10 handed game
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9*12/C(50,2) - C(9,2)*12*7/C(50,2)/C(48,2) =~ 8.6%.
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also in a 10 handed game what is the average number of poket pairs delt out per hand i heard 2 somewhere
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The probability of getting a pocket pair is 1/17, so the average number dealt is 10/17.