Over cards vs. JJ, JJ, 99?

[bene]

What are the odds of AQo vs three hands consisting of JJ, JJ and 99? For AQ, I still only need to catch an A or Q, and the two jack hands won't set, taking that away.. So I still have around a coinflip, then 99 needs to hit a set and the jacks will split the rest of the time, right?

What are the exact odds for this?


For the record.. I flopped two pair and 99 turned a set...

[shobute]

You can calculate this kind of stuff using the calculator at twodimes.net.

For this issue:

pokenum -h as qc - js jc - jh jd - 9s 9c
Holdem Hi: 1086008 enumerated boards
cards win %win lose %lose tie %tie EV
As Qc 467838 43.08 614804 56.61 3366 0.31 0.432
Js Jc 0 0.00 725988 66.85 360020 33.15 0.165
Jd Jh 29910 2.75 696078 64.10 360020 33.15 0.193
9s 9c 228240 21.02 854402 78.67 3366 0.31 0.211

For when the flop gives you two-pair:

pokenum -h as qc - js jc - jh jd - 9s 9c -- ad qs 3h
Holdem Hi: 820 enumerated boards containing Qs Ad 3h
cards win %win lose %lose tie %tie EV
As Qc 733 89.39 87 10.61 0 0.00 0.894
Js Jc 0 0.00 804 98.05 16 1.95 0.010
Jd Jh 0 0.00 804 98.05 16 1.95 0.010
9s 9c 71 8.66 749 91.34 0 0.00 0.087