21.7.10

In Poker terms...

What would it take in a poker hand to suck out so badly that you only had a 3/1000 chance of hitting your hand?

Is it even possible?

5 comments:

Mike Heffner said...

sure, easy, top set vs. running perfectperfect quads, happens all the time :-)

http://twodimes.net/h/?z=7423668
pokenum -h 7d 6s - ah ad -- as 2c 7h
Holdem Hi: 990 enumerated boards containing As 2c 7h
cards win %win lose %lose tie %tie EV
6s 7d 1 0.10 989 99.90 0 0.00 0.001
Ad Ah 989 99.90 1 0.10 0 0.00 0.999

jjok said...

triplets are even rarer.....hahahaha

Gary said...

I think the odds as articulated suffer for only going out two decimal places. Let me explain why I think so and hopefully someone smarter than me can confirm or deny:

Heads-up, after the flop, there are 7 cards accounted for. The most extreme odds are generated by requiring two exact cards from the deck. Example like Heffmike's need-to-draw-two-to-quads, or this one: AcKc vs 7c2h, flop comes 2c3c4c. The dude with the 7 can only win if the 5c and 6c come up. That's 1/45 times 1/44, or one chance in 1,980, or about six times harder to nail than 3/1000.

At a full table your odds are a little better as fewer cards are left. There your odds are one in 930, still three times harder than 3/1000.

Mathies? Yes? No?

Mike Heffner said...

actually, it's the same scenario, because your 1/45 x 1/44 math implies it matters which order the cards come on the turn and river - which it doesn't.

so it's actually 2/45 (5c or 6c on turn) and 1/44 (whichever one didn't come on the turn spikes the river) to make 2/1980 or.....

1/990. Back where we started.

Boy, it's like I was a math/science major at one point in my life.

Julius_Goat said...

Dad of twins here. Looks like you've used up all your run good for a while.

Congrats!