[(my name it is) Sam Hall]

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But I get a different answer (19.77%) for the second one. (as shown below):

9*20*19/17296 = 3420/17296 = 0.1977

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You are correct. The degeneracy is different since the high, unpaired low, and paired low are distinguishable and I didn't correct for that. Thanks.

6[(19/48)*(9/47)*(20/46)]=0.1977

OK, so the conclusion so far is this: AQ42 flops an uncounterfeited nut low draw 17.6% of the time, and a once-couterfeited low draw 19.8% of the time. In that 19.8% of the time in which the draw is once-counterfeited, 6.6% of the time it will be the 4, and the draw will still be to the nut low. The other 13.2% of the time it will pair the A or 2, making the draw to the second-best low. Given all of that, AQ42 flops a nut low draw 24.2% of the time and a second-nut low draw 13.2% of the time. Is this all correct?

Sam