If you get pocket pairs every 221 hands...

[Petomane]

If you get pocket pairs every 221 hands, is the figure for AKs going to be similar? And how often does AK offsuit come up?

Thanks.

[Larry David]

I don't know where to begin... seriously. Please rephrase the question.

Oh, are you saying since each specific pair is 220 to 1 aka 1 in 221? Then asking how often you get AK and AKs and how often will you flop a pair with them? What does the pocket pair part have to do with anything?

[jason_t]

[ QUOTE ]
If you get pocket pairs every 221 hands, is the figure for AKs going to be similar? And how often does AK offsuit come up?

Thanks.

[/ QUOTE ]

You don't get pocket pairs every 221 hands. The probability that you are dealt a particular pocket pair (say AA) is 1/221. The probability that you are dealt a pocket pair is 1/17. The probability that you are dealt AKs is 2/663 (4 combos out of 1326 possible combos) and the probability that you are dealt AKo is 2/221 (12 combos out of 1326 possible combos).

Intuitively, there are 6 combos of any given pocket pair, 4 combos of AKs and 12 combos of AKo so therefore the probability of getting AKo > probability of getting a particular pocket pair (say AA) > probability of getting AKs.

[Catt]

You get a pocket pair (any pocket pair) 1 in 17: example, dealt x; x of a differnt suit comes 3/51 times.

You get a specific pocket pair (i.e., AA) 1 in 221 times: example, dealt an A 4/52 times; receive a second A 3/51 times.

You get a specific XXs hand ~1 time in 331 times: example, AKs is 8/52 (A or K as first card); receive suited counterpart 1/51 times.

You get a specific offsuit hand ~1 time in 110 times: example, AKo is 8/52; receive counterpart 3/51 (the 4th card of the counterpart would make the hand suited).

[Petomane]

Thanks. That helped.