/sci/ - Science & Math

never understood why four of a kind is the third highest hand.

if you are playing with a single deck then 4 of a kind with 10s or higher is unbeatable.

>>1421191
What do you mean? A straight flush is harder to get (less probable) than four of a kind, so it ranks higher.

Don't let me down sci...

not your personal army fag

Most of them would be extremely rare...
A 7 card flush would be 4*12/51*11/50*10/49*9/48*8/47*7/46 = ~1 in 500

Strike that, that'd be if you were alone, it'd be even rarer if you had any opponents.

>>1421334
That's not what that phrase means

>>1421459
Nah, opponents don't affect the outcome. There are 52 cards, 7 you see, 45 you don't. Doesn't matter whether those other 45 are in the deck or in someone else's hand.

these calculations are tedious as hell to do and you can find them already computed simply by googling.

I'll take the easy one... There are only 4 possible 7-card royal flushes, so:
<span class="math">\frac{4}{\binom{52}{7}} = \frac{4}{133784560} = 2.98988164 x 10^{-8}[/spoiler]

>>1421586
Retry...
7-card royal flush =
<span class="math">\frac{4}{52 \choose 7} = \frac{4}{133784560} = 2.98988164 x 10^{-8}[/spoiler]

>>1421575
Actually, I didn't find them by googling, which is why I thought I'd ask. If you find them, let me know.

>>1421575
whoops didn't see that you wanted to use all 7 cards. well buddy looks like you're going to have to read up on combinatorics. look up combinations with repetitions.

1) All these probabilities have already been worked out.
2) In poker you will win 1/(number of players) of hands. The way you make money is to minimize your losses by folding weak hands and maximize gain on strong hands.

In Texas Hold'em if you have a good hand and your opponent bets as well he likely has a very similar hand to you and your kicker or just secondary cards become very important.

Finally, Go to the casino and play. Many players don't understand the game aspects beyond what constitutes a good hand and its easy to take their money. Play against poor players and win money.

>>1421610
1) Well, post the link, ass hat
2) Don't care about poker strategy, talking about math

>>1421641
>http://en.wikipedia.org/wiki/Poker_probability
>http://www.google.com/search?hl=en&source=hp&q=poker+hand+probabilities
Your google-fu is weak.

>>1421668
Sooooo... What you're saying is:
> I didn't even read as far as the second sentence in OP's post
Thanks, big guy.

>>1421668
The Wikipedia article does cover some 7-card possibilities, such as a 7-card straight, but only as a step in the process of finding all the 5-card probabilities.

An example of something unique to 7-card hands (not covered in the Wikipedia article) would be a 4/3 full house, i.e. 5 5 5 5 7 7 7.

Fuckit, I'm going to just write a script. There are only ~134M hands, so it should run fast enough.

>>1421735
>134M

How'd you arrive at that number, if you don't mind me askin'?

>>1421718
(13 choose 1) * (12 choose 1) * (4 choose 3) = 624
That's the the 4/3 full house I believe.

>>1421761
<span class="math">{52 \choose 7}[/spoiler]

>>1421768
(52 choose 7) = ~134M

>>1421805
Thank you.

>your a dummy