Probabilty of any given hand in Texas Hold Em

[wiggum82]

Hey everyone

We are working on a Texas Hold Em feature for a mid-sized newspaper. I was wondering what the odds of receiving any given hand are. These hands included are: Royal Flush, Straight Flush, Four of a kind, Full HOuse, Flush, Straight, Three of a kind, two pair, one pair, high card

These are for TEXAS HOLD EM STATS! I have seen plenty of stats that show what the odds are of getting a hand in five-card draw. For instance, those stats say a flush is 1 in 509 or something, which is way off in Texas hold em.

We are factoring in these stats to include if you play eveyr hand to the river.

Thanks

[uuDevil]

[ QUOTE ]
I was wondering what the odds of receiving any given hand are. These hands included are: Royal Flush, Straight Flush, Four of a kind, Full HOuse, Flush, Straight, Three of a kind, two pair, one pair, high card

These are for TEXAS HOLD EM STATS! I have seen plenty of stats that show what the odds are of getting a hand in five-card draw. For instance, those stats say a flush is 1 in 509 or something, which is way off in Texas hold em.

We are factoring in these stats to include if you play eveyr hand to the river.


[/ QUOTE ]

I think the odds you are looking for would be the same as for 7 card stud (sorry about formatting):

<font class="small">Code:</font><hr /><pre>
Hand # hands* Probability* 1 chance in… Odds Against, X:1
st fl 41584 0.000311 3217.212389 3216.212389
4 of kind 224848 0.001681 595.000000 594.000000
full house 3473184 0.025961 38.519284 37.519284
flush 4047644 0.030255 33.052452 32.052452
straight 6180020 0.046194 21.647917 20.647917
3 of kind 6461620 0.048299 20.704492 19.704492
2 pair 31433400 0.234955 4.256128 3.256128
pair 58627800 0.438225 2.281930 1.281930
high card 23294460 0.174119 5.743192 4.743192
total 133784560 1.000000
</pre><hr />
*Source: http://www.math.sfu.ca/~alspach/comp20/

You should realize this information is not particularly helpful in actual play.