Hand Probability

[pokerstar]

Hand Frequency Probability Cumulative Odds Mathematical expression of frequency

Royal flush 4 0.000154% 0.000154% 649,739 : 1

{4 \choose 1}
Straight flush

(excluding royal flush)
36 0.00139% 0.00154% 72,192.33 : 1

{10 \choose 1}{4 \choose 1} - {4 \choose 1}
Four of a kind 624 0.0240% 0.0256% 4,164 : 1

{13 \choose 1}{4 \choose 4}{48 \choose 1}
Full house 3,744 0.144% 0.170% 693.2 : 1

{13 \choose 1}{4 \choose 3}{12 \choose 1}{4 \choose 2}
Flush 5,108 0.197% 0.367% 507.8 : 1

{13 \choose 5}{4 \choose 1} - {10 \choose 1}{4 \choose 1}
Straight 10,200 0.392% 0.76% 253.8 : 1

{10 \choose 1}{4 \choose 1}^5 - {10 \choose 1}{4 \choose 1}
Three of a kind 54,912 2.11% 2.87% 46.3 : 1

{13 \choose 1}{4 \choose 3}{12 \choose 2}{4 \choose 1}^2
Two pair 123,552 4.75% 7.62% 20.03 : 1

{13 \choose 2}{4 \choose 2}^2{11 \choose 1}{4 \choose 1}
One pair 1,098,240 42.3% 49.9% 1.37 : 1

{13 \choose 1}{4 \choose 2}{12 \choose 3}{4 \choose 1}^3
No pair / High card 1,302,540 50.1% 100% 0.995 : 1

\left[{13 \choose 5} - 10\right]\left[{4 \choose 1}^5 - 4\right]
Total 2,598,960 100% 100% 0 : 1

{52 \choose 5}


If this is confusing to anyone, a graphical version can be viewed here:

Poker probability - Wikipedia, the free encyclopedia

[Ellis]

Yeah for me its confusing.........

Im gonna check that out, to see if I understand.

I like the game very much.
But online its not really a game..
Its all in all in the whole time....
I like it more to play in real life...

Im continue askin myself is poker a game of luck??
Or Not?

Who has a awser for me?

[pokerstar]

Originally Posted by Ellis

Yeah for me its confusing.........

Im gonna check that out, to see if I understand.

I like the game very much.
But online its not really a game..
Its all in all in the whole time....
I like it more to play in real life...

Im continue askin myself is poker a game of luck??
Or Not?

Who has a awser for me?

Poker is not really a game of luck, it is a game of probability. We often mislabel chance as something that just happened to come along and call ourselves lucky. The thing is though, there are 52 cards in a deck, and only certain combinations can occur. When you play long enough, even the "lucky" cards will emerge.

[Ellis]

Thank you verry much for awsering my question Pokerstar....
You know where you are talking about.

Are there maybe more players that have a different kind of view of it?
Please tell me.

[pokerstar]

I am not another player, but if you would like I could send you some great website addresses to look at that might better help you understand luck and probability. Just let me know and I can send it through Private message or even just post some links here.

[Ellis]

Sure poker star, you may aways pm me.
Online poker is still a game of luck, i think.

But, when you play at the real pokertable's
You must have some knowlegge about people,their face expressions.
Practice practice and practice,an know how to use your face.

LOL

[Dmoney644]

My Dear Ellis, I Say There Is Some Luck In The Game Of Poker But The Game Of Poker Is Not All Luck. When Playing Live, Yes, You Can Find All The "Tells" A Player Has Like , Looking Nervous, Or The Occasional Quick Smile, Even He Didn't Even Notice That He Did, But Even Online, There Are Many Different Things That Can Help You Than More Than Just Luck.

A Common Stratagy I Use Is To Play A Pretty Tight Game Early, Only Playing Premium Hands, And Bet When I Have Something Good.

After A While At The Same Table, The Other Players Will Soon Realize That You Only Bet When You Have A Hand, And Would Only Call Their Raise With A Hand. Once They Label You As A Tight Player, Thats When You Can Change Gears, And Make Steals On Their Blinds And Bluff In The Middle Of A Big Pot. This Doesn't Work 100% Of the Time, But Is Very Effective When Playing With Other Players That Take Notice Of Your Play.

Also, Another Big Stratagy, Is To Know Who You Are Playing With. Know Who You Can Bluff And Who You Can't, Who You Can Steal Their Blinds , And Know Who You Do Not Want To Get Involved In Big Pots With.

Also, When Getting Close To The Money , Players Tend To Tighten Up To Make Sure They Make The Money, This Is A Perfect Oppertunity To Steal Blinds Because Of Their Fear Of Going Out Not Making The Money.

Hope This Helps You Out A Bit.