When playing texas hold'em poker, what is the probability of getting two 'four of a kind' hands in five deals?

Question

When playing texas hold'em poker, what is the probability of getting two 'four of a kind' hands in five deals?

Answer 1

http://en.wikipedia.org/wiki/Poker_proba...

here you go , have fun reading , depends on how many people playing , before or after the flop,

Answer 2

one in five

Answer 3

I don't know the odds but I did it last year at the Plaza hotel in Las Vegas. Dueces and sixes in well under my first hour of play having the pocket pair both times.

Answer 4

I have read, but not personally calculated yet, that the probability of getting quads from all combinations is 0.168%. That's about 1 in 595 times (if you see it all the way to the river) If you can find a better source or want to calculate this yourself and find it to be different, then you can still apply the formula below.

Any two random events happening in the future, you multiply their probabilities together. In statistics this is called joint probability for any random two events. Your chance of getting quads on one hand is 1/595, after getting them the chance of getting them again in the next hand is 1/595. If we wanted to know just getting the probability of getting quads back to back (2 hands in a row) the joint probability is just (1/595) * (1/595) = about 1 in 353,000.

But our probability for getting them in any 5 hands is a bit greater. Now we simply calculate the number of ways we can get quads 2 times within 5 hands. So what we are doing is finding out the total combination of events where we can have  (1/595) * (1/595).

For any future events, joint probability applies. For example, the probability of getting quads back to back and the probability of getting quads next hand and then again in exactly 4 hands later are the same. (1 in 353000).

In 5 hands we look how many ways we get get our quads. We can get them on the first hand, hten the second. We can also get them on the first hand then the 3rd. We can also get them on the 2nd hand and the 5th. If we add up all these ways, we get a E(5-1) or 4+3+2+1 combinations = 10.

So we have a 10 in 353,000 chance of getting quads in any 5 consecutive hands in the future. Or about 1/35,300.

Answer 5

Depends on number of factors but to deal five hands of five cards giving two fourofakinds is 3467779 to 1, i think...

Answer 6

Ima be honest I tried to work this out, but there are a ton of variables, suffice to say they are ridiculously small