probability of sharing a low in omaha hi lo

[MelchyBeau]

this situation popped up on me last night while playing at viejas. I was on the button and had AAA2 suited. at the end I shared the low with someone else having A2. I was curious what the probability I would get quartered when having the nut low with that hand.

Thanks,
Melch

[Cobra]

There are 48 unseen cards, one ace, three two's and 44 other. The probability that someone was dealt an A2 is =
P=1*3*(44 choose 2)/(48 choose 4)= 1.94%. Multiply that by number of opponents and you get the probability that anyone was dealt it.

ie. 9 opponents * 1.94% = 17.5% or 1 in 5.7 hands.

Cobra