[Godfather80]

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Yeah, I just did that in my heads, but there's something I didnt think about. What is the the for comes paired with a jack or three of a king? But I guess the original question is just interested in the hands that involve both whole cards in a pair/trips/quads.

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Right, these weren't counted before:

2-pair with pair on flop (e.g. JAA): 2*3*11*6 = 396 (3 ways to pair J times 11*6 ways to pair board, or 3 ways to pair deuce times 11*6 ways to pair board).

3-of-a-kind on flop, not J or 2: 11*4 = 44

Adding these to previous counts gives total of 5.7% or 16.5-to-1 for J2o, and 6.6% or 14.3-to-1 for J2s.

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Thanks to everyone who posted. Your discussion was very helpful.