Another What are the Odds?

[astarck]

Given that two players each hold a pocket pair what are the odds that they split the pot in the way described below?

Example 1:
Player 1 - AA
Player 2 - QQ
Board - KKKKA

Example 2:
Player 1 - JJ
Player 2 - 44
Board - 7777Q

Example 3:
Player 1 - 88
Player 2 - 77
Board - TTTT9

As you can see there are MANY combinations for this to work. I'm not wondering the odds in the three specific examples above, they were mearly examples. I am wondering the odds that given two players each hold a different pocket pair they split the pot with 4-of-a-kind.

I think I have described what I was thinking well enough to get my question across.