I run 10 million simulations with these assumptions:
- a party holds AhJh
- the other party holds KsKd
- each simulation runs three boards.
The results relative to the AhJh party:
Code:
-3 -2 -1 0 1 2 3
0.2796837 0.0048727 0.4794944 0.0053513 0.2068855 0.0011195 0.0225929
In the results above, -3 means that KK won all three showdowns; -2 you have 2 KK wins and a draw and so on. As we can see, 3 wins for AJ happened about 2.2% of the times, so not an absurd outcome.
I might have made mistakes in my simulation; however I think the results should be in that ballpark. You can make a check with pokerstove. The above hands are 32.5/67.5 for the first board; you can see that, if we suppose the first board to be AsJcJd2h3s for instance, AhJh is still 26.4% to win the second board, despite the heavy hit. So you are roughly 8-9% to win the first two boards and 2/2.5 to win all of them.
Of course things may change if the AJ are not suited (I simulated the most favourable case for AJ, suited and the kings of other suits).