Odds Of 4 Of A Kind In Poker 9,2/10 9492 reviews
  1. Odds Of 4 Of A Kind In Poker
  2. Odds Of Getting 4 Of A Kind In Video Poker

I am supposed to determine the probability of 4 of a kind in a 5 card poker draw using Matlab. I understand the first thing I have to do is generate a deck and shuffle the cards, then draw 5 cards. I am having trouble with determining whether the hand is 4 of a kind or not. How to mathematically determine the chance of getting a FOUR OF A KIND in 5 card poker.

Poker
dahoss2002
  1. Video Poker Hand Odds: One of the great features of video poker is the fact that the odds of each hand being dealt are the same on every machine (Games with 52 cards of course have different odds to those with 53). While the pays for the wins change the chances of getting the wins do not.
  2. How to Rank 4 of a Kind Hands? There are 624 potentials 4 of a Kind hand combinations in a 52 card deck. There are also 156 unique ranks of 4 of a Kind. Given that poker hands comprise 5 cards, the kicker (the fifth card) will matter. If we compare 2 x 4 of a Kind hands each made up of 5’s, which one will win?
I mainly play 9/6 JOB but will play DDB too sometime. Quads on JOB = 25/1 and DDB 5-K = 50/1. Question: If machine is using RNG, and 52 card deck then the odds of drawing 5-K Quads should be the same on either game and DDB pays twice as much. From my experience, i hit more quads on JOB. Opinions or answers are appreciated.
Ibeatyouraces

I mainly play 9/6 JOB but will play DDB too sometime. Quads on JOB = 25/1 and DDB 5-K = 50/1. Question: If machine is using RNG, and 52 card deck then the odds of drawing 5-K Quads should be the same on either game and DDB pays twice as much. From my experience, i hit more quads on JOB. Opinions or answers are appreciated.


Odds of 4 of a kind in poker playersI'd think you'd get more on DDB due to not holding aces full or two pair containing aces. But that's just a guesstimate.
But then again, in JoB, you hold hands like AK, AJ offsuit whereas in DDB you only hold the ace.
DUHHIIIIIIIII HEARD THAT!
100xOdds

Question: If machine is using RNG, and 52 card deck then the odds of drawing 5-K Quads should be the same on either game


yes.
as for you hitting more quads on JoB, I would say small sample size.
Craps is paradise (Pair of dice). Lets hear it for the SpeedCount Mathletes :)
100xOdds

I'd think you'd get more on DDB due to not holding aces full or two pair containing aces. But that's just a guesstimate.
But then again, in JoB, you hold hands like AK, AJ whereas in DDB you only hold the ace.


he said drawing 5-K :)
Craps is paradise (Pair of dice). Lets hear it for the SpeedCount Mathletes :)
Ibeatyouraces
Thanks for this post from:

he said drawing 5-K :)


Do'h!! Too much Orange Crush at the casino. :-)
My only quad today was kings holding two of them.
DUHHIIIIIIIII HEARD THAT!
AxelWolf

I mainly play 9/6 JOB but will play DDB too sometime. Quads on JOB = 25/1 and DDB 5-K = 50/1. Question: If machine is using RNG, and 52 card deck then the odds of drawing 5-K Quads should be the same on either game and DDB pays twice as much. From my experience, I hit more quads on JOB. Opinions or answers are appreciated.

I think I have pointed this out before.
On a game like double bonus poker deluxe where it pays 80 to 1 for all 4 of a kind the 4oak cycle is actually slightly longer(423.9) than a 9/6 cycle. The 9/6 cycle is 423.3 hands
let's pretend they had a game where the only pay out was a 4 of a kind, the shortest possible 4oak cycle is 376 hands. Of course, you wouldn't be playing that way, so you really should not be noticing any difference.
I think the reason it seems like you get more 4 of a kinds on a 9/6 is because you are usually losing far less in between 4 of kinds, so it's not so painful when you go a while without hitting one so you don't notice as much. You are not sitting there feeding in bill after bill like you would be on a DDB, wondering when the hell you will hit your next 4 of a kind. When you do go on a 4 of a kind rush playing 9/6 you are probably thinking, 'damn I wish I was playing DDB.'
♪♪Now you swear and kick and beg us That you're not a gamblin' man Then you find you're back in Vegas With a handle in your hand♪♪ Your black cards can make you money So you hide them when you're able In the land of casinos and money You must put them on the table♪♪ You go back Jack do it again roulette wheels turinin' 'round and 'round♪♪ You go back Jack do it again♪♪
100xOdds

I think the reason it seems like you get more 4 of a kinds on a 9/6 is because you are usually losing far less in between 4 of kinds, so it's not so painful when you go a while without hitting one so you don't notice as much. You are not sitting there feeding in bill after bill like you would be on a DDB, wondering when the hell you will hit your next 4 of a kind. When you do go on a 4 of a kind rush playing 9/6 you are probably thinking, 'damn I wish I was playing DDB.'


Kindjust played 10play 9/7 Triple Double Bonus (99.6%) on vp.com for fun.
holy Christ, talk about feast or famine. (it's twice the variance of Double double bonus.)
the bankroll drain of not hitting Quads was insane.
Craps is paradise (Pair of dice). Lets hear it for the SpeedCount Mathletes :)
Ibeatyouraces

Odds Of 4 Of A Kind In Poker

just played 10play 9/7 Triple Double Bonus (99.6%) on vp.com for fun.
holy Christ, talk about feast or famine. (it's twice the variance of Double double bonus.)
the bankroll drain of not hitting Quads was insane.


PokerPokerNow play it with ultimate x.
DUHHIIIIIIIII HEARD THAT!
RS
JOB cycle is 1/(47,093,167,764 / 19,933,230,517,200) or 423.2722.
DDB cycle is 1 / ((32,494,582,452 + 7,662,444,216 + 3,460,011,120 + 2,854,370,052 + 1,227,691,500) / 19,933,230,517,200 ) or 417.8953
I believe it mostly comes down to Aces. If you want to check it out for yourself, use a DDB strategy generator and use DDB paytable, then do the same thing (using DDB strategy generator) but input the JOB paytable for it (so AWAK pays 25:1 instead of 400:1, etc.).
dahoss2002

I think I have pointed this out before.
I think the reason it seems like you get more 4 of a kinds on a 9/6 is because you are usually losing far less in between 4 of kinds, so it's not so painful when you go a while without hitting one so you don't notice as much. You are not sitting there feeding in bill after bill like you would be on a DDB, wondering when the hell you will hit your next 4 of a kind. When you do go on a 4 of a kind rush playing 9/6 you are probably thinking, 'damn I wish I was playing DDB.'


Thanks!! I just hit more quads/dollar spent on JOB not more quads/hands. That makes sense.
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Odds Of Getting 4 Of A Kind In Video Poker

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One of the great features of video poker is the fact that the odds of each hand being dealt are the same on every machine (Games with 52 cards of course have different odds to those with 53). While the pays for the wins change the chances of getting the wins do not. Below we list the odds of many hands being dealt pat and the odds of winning on the draw for a 52 card game.

Initial Deal Odds

The table below shows the odds of getting any winning hand on the first five cards dealt on a game using 52 cards. Odds change if you are playing a game with an additional wild card such as Jokers Wild as there are 53 cards.

HandOddsHand Odds
Royal Flush 1 in 649740Straight : 1 in 255
Straight Flush : 1 in 72193Three of a Kind :1 in 47
Four of a Kind : 1 in 4165 Two Pairs :1 in 21
Full House : 1 in 694Pair J, Q, K or A 1 in 7.69
Flush : 1 in 509Any Pair 1 in 2.37

Odds On The Draw

As much as we would all like to see a pat hand dealt every time we hit the max bet button this is rarely the case. In reality less than 1% of hands played will result in you holding all five where over 60% of hands you will hold just two cards going into the draw. Knowing this lets look at some examples.
The table below shows the odds of getting a particular hand when holding one, two, three or four cards. Of course you have to be holding the right cards for the odds to be correct. For example for cards to a royal is made up of four suited cards in the 10 to Ace range. Four to a flush is four suited cards etc.
Royal Flush Draw
Hold 1 Hold 2 Hold 3 Hold 4
1 in 178,3651 in 16,215 1 in 1081 1 in 47
Straight Flush Draw *
Hold 1 Hold 2Hold 3 Hold 4
1 in 59,4551 in 8,1071 in 360 1 in 47
Four of a Kind Draw
Hold 1 Hold 2 Hold 3 Hold 4
1 in 3,4301 in 3601 in 23.24n/a
Full House Draw
Hold 1 Hold 2 Hold 3 Hold 4
1 in 619 1 in 98 1 in 16 n/a
Flush Draw
Hold 1 Hold 2 Hold 3 Hold 4
1 in 3611 in 991 in 26 1 in 5
* The straight flush section has several variations that can change the odds that are displayed. These are primarily and inside draw or an outside draw. For example if you have 5h, 6h, 7h, 8h there are two ways to make the straight flush - either a 4h or a 9h will do it. However if you have an inside draw you have for example 2d, 3d, 5d, 6d. In this case only one card can make the hand (4d).
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