### Probability of winning at poker

We've been talking a lot about probability and poker at lunch. I'm sure somewhere someone has done the calculation for the probability of winning given a certain (partial) hand. It may be related to the number of players. Anyway, I found a great starting place. Interestingly, the probability of getting one pair is about 42.3%. So it is appropriate to feel bad when you don't even have a pair. Incidentally, there are 2,598,960 possible hands (52C5). That's not actually that many - though you can imagine the math can get pretty crazy when there are multiple players. A lot of factors need to be computed to really give the probability of winning. And then there is the chance of switching cards...

**Some Poker Odds Calculator**

*BTW, use at your own risk - by no means am I advocating gambling... this is just for education. Also, be careful what you click.*

- Poker Calc - Does a simulation of 100,000 trials. Kind of close to what I was envisioning. Though it might not be so far off to just do every possible combination. Maybe this gets close enough.
- Twodimes
has a non-graphical calculator that works for a number of different games. Cool. They also do simulation, 500,000.

**Newsflash**

Pokersource.