math quiz

thrash1294 · #1 01-27-06, 12:55 PM

As we all know AA and AK and KK is the most raised hands . So how many combinations are there using aces and kings?

Talking Poker · #2 01-27-06, 01:27 PM

I don't understand the question.

Do you mean how many different ways are they to be dealt AA, KK and AK?

Counting all the different suit combinations?

thrash1294 · #3 01-27-06, 01:40 PM

combinations using all aces and kings in the deck.

MathBabe · #4 01-27-06, 10:52 PM

I was surprised to read in A Beautiful Mind (the original biography, that the movie was loosely based on) that probability was invented to analyze poker and other "parlour" games. I had just assumed that the theory came first, I guess!

There are 12 ways of getting AA (four possibilities out of the deck for the first card, times three possibilities for the second card). Same for KK.

For AK, there are 32 ways (eight possibilities for the first card, and four for the second).

So, overall there are only 56 combinations out of a possible 2652, meaning on any given hand we're 46:1 underdogs to get dealt one of these premium hands!

eejit101 · #5 01-27-06, 11:24 PM

or, there are 220 hands possible, AA, AK, and KK are three of there, so 3 in 220 is easier for me

MathBabe · #6 01-27-06, 11:36 PM

But there isn't a 1 in 220 chance of getting each of them - AK is more likely than AA or KK.

Actually... why 220 hands?

thrash1294 · #7 01-28-06, 12:03 AM

Holy Crap!!! i pulled the question from bluff magazine for feb.
They have the answer of 28.

Mathbabe has a far too superior mind

MathBabe · #8 01-28-06, 12:12 AM

More isn't necessarily better. :-) I must have double-counted compared to what they were doing.

I will have to get back to you... it is past midnight here and my brain has turned into a pumpkin!

EDIT: Yeah, I double-counted - I took AsAc to be different than AcAs, for instance. If you don't care which card you get first, then divide all my numbers by 2. If they said 28 out of 1326, that's the same as my 56 out of 2652.