#1
|
|||
|
|||
AK probability
Im trying to figure out the odds of getting AK, getting 1 ace is 1 out of 13 hands...after that getting a K is 4 out of 51 or 1 in 12.75
added together thats 25.75 so does that mean I should get dealt AK once in 25.75 deals??? |
#2
|
|||
|
|||
Re: AK probability
The math goes like this:
<ul type="square"> [*]Possible 2-card combinations: 52!/(2!(52-2)!) = 1326 [*]Possible AK-combinations: 4*4 = 16[*]Probability of being dealt AK: 16/1326 = 0.012 = 1.2%[/list]If you don't know the factorial function (!) you can use a simpler expression for the total number of 2-card combinations: 52*51/2. You got 52 choices for card 1 and 51 choices for card 2. The order in which you get the cards does not matter, so you need to divide by 2 to avoid double counting. The number of AK combinations is just the number of aces times the number of kings (4*4). olavfo |
#3
|
|||
|
|||
Re: AK probability
Thanks for correcting me...Pretty new at this and should have taken the time to figure it out, instead i went to some bogus holdem site and got that info off there...last time i take the easy way out...thanks
|
#4
|
|||
|
|||
Re: AK probability
so does that mean its dealt once out of about 82 hands on average? 1326 divided by 16?
|
#5
|
|||
|
|||
Re: AK probability
Almost correct. The odds are
1/probability = 1326/16 = 83 (rounded) so you will get AK 1 out of 83 times. The odds can also be written as 82 : 1. olavfo |
#6
|
|||
|
|||
Re: AK probability
now if I wanted to do the same for AKs its the same execpt multiply 83 by 4 (since only 4 combination) right? so say 331 : 1
|
#7
|
|||
|
|||
Re: AK probability
Correct, since you have a 4/1326 chance for those.
olavfo |
#8
|
|||
|
|||
Re: AK probability
For those of you with aversions to "combination" math, a simple calculation like that of a pocket pair, or of two suited / unsuited cards can be done like this;
Probability of AK; 2/13 * 4/51 = (8/663) There's a 2 out of 13 chance of grabbing an A or K with your first card. Once that happens, there are 4 other cards (A or K) of the 51 remaining. AKs: (8/52 * 1/51) = 2/663 ... Just one card left to satisfy "AKs" once you draw an ace or a king. Best bet is to just memorize the number of combinations, and then all you'll have to do is figure out the numerator of whatever calculation you need. (16 for AK, 4 for AKs, etc.) Rob |
|
|