330:1 vs 220:1 ?

[pwr]

Hmm wondering about this. The odds againt being dealt Ace-King suited, is 330:1. The odds against being dealt Ace-Ace, is 220:1.

Ace-Ace is the better of these two hands. Is this just a freak of math that the more unlikely Ace-King suited, is not the best of these two hands?

[senjitsu]

Makes sense if you think about it. There are 6 ways to make a pocket pair(HC, HD, HS, CD, CS, DS), but only four ways to make a suited combination of two specific rank(HH, CC, DD, SS). To think of it another way, having been dealt an Ace of a particular suit, you have only one card that will make you AK suited, but 3 that will make you AA.



[ QUOTE ]
Hmm wondering about this. The odds againt being dealt Ace-King suited, is 330:1. The odds against being dealt Ace-Ace, is 220:1.

Ace-Ace is the better of these two hands. Is this just a freak of math that the more unlikely Ace-King suited, is not the best of these two hands?

[/ QUOTE ]

[uuDevil]

[ QUOTE ]
Hmm wondering about this. The odds againt being dealt Ace-King suited, is 330:1. The odds against being dealt Ace-Ace, is 220:1.

Ace-Ace is the better of these two hands. Is this just a freak of math that the more unlikely Ace-King suited, is not the best of these two hands?

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The value of hands is determined by the rules of the game. The probability of 22 is the same as AA, but the rules say AA wins.

[Neil Stevens]

Likewise, a 7 or 8 high flush is a lot harder to get than an any old Ace high, but rules are rules.

[Precision1C]

If you think AA vs AK is a noteworthy variance between rarity and value how about the chances of getting 7c 2d 1326:1 vs AK suited 330:1. Now play baseball with 3s and 9s wild and a 4 gets you a extra card it is much easier getting a straight or flush than exactly 3 of a kind but the rankings stay the same.