Re: Probability of flopping top pair with X,X
It's easy actually . First lets omit all two pair or better hands and only work with single pairs .
Take KQ and work in cases .
case1) Find the number of flops with a top pair of kings but no aces or queens : 3*43c2 =2709.
case2) The number of flops with a top pair of queens but no kings or aces . As before it is 2709 .
The total number of single pairs using a king or a queen is just 2709*2/50c3 = 27.64%
Take q-10 .
case1) The number of flops with a top pair of queens but no k's or aces : 3*39c2=2223
case2) The number of flops with a top pair of 10's but no j's q's k's or aces : 3*32c2 = 1488
Your answer should be (2223+1488)/50c3 = 18.93%
Also note that AK will flop a "single" pair, 3*44c2*2/50c3 = 28.95% of the time .
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