Odds Question

I was just playin a $1 heads-up Sit N Go on Noble and the most amazing thing I have seen happend.. Me and the other person were both all-in PF and both had A-A..I went on to flush and win the hand..

What are the odds of us bothing getting AA and then of one of us winning the hand?

[UATrewqaz]

The odds are just simply the board will come 4 to the flush

If the board comes 4 to the flush, someone will win.

I believe there is a 4.4% chance of the board coming 4 to the flush

Thus you have a 2.2% chance, as does he, of winning the hand.

Using a hypogeometric probability distribution:
To hit any one suit 4 times out of 5
Population Size: 48 with 12 sucsesses.
Odds for that one suit are: 1.04%
If you double that so chances of hitting either suit: 2.08%
I think that is correct.

AA vs AA heads up, 1 in 270,725.
4+ suited cards on the board about 4.4%

Combined probability about 1 in 6 million