Poker Odds
If I know this, I can workout how to get a combination of hands to complete a card that requires getting 5 or 6 different hands to get a jackpot.
Please help, google doesn't know :)
Quote: CasinoDOUGHi, I wanna know how to workout the odds of getting STR FLUSH, then 3 of a KIND, then STR all in one day on three card poker?
If I know this, I can workout how to get a combination of hands to complete a card that requires getting 5 or 6 different hands to get a jackpot.
Please help, google doesn't know :)
So, there are 48 ways to get a straight flush, 52 ways to get 3 of a kind, and 720 ways to get a straight in 3 card poker. This is out of 22,100 possible hands. Odds are very low of getting all of these in 1 day, and yet I've done it several times over not playing very much 3 card poker (maybe 200 hours of that game over 20 years).
48/22,100 = .2172% of hands, 52/22,100 = .2353% of hands, and 720/22,100 = 3.2579% of hands. Multiply those 3 chances together, and you get less than .0001% of seeing all of them in any given session, though you must multiply that by how many hands you play, and the percentage climbs a little each time. (For example, if you play 200 hands - about 4 hours - your chance is about .0033%.) And yet it happens.
I should add my usual disclaimer: I'm not a math guy, so I could be figuring this wrong. Corrections welcome if necessary.
Quote: beachbumbabsSo, there are 48 ways to get a straight flush, 52 ways to get 3 of a kind, and 720 ways to get a straight in 3 card poker. This is out of 22,100 possible hands. Odds are very low of getting all of these in 1 day, and yet I've done it several times over not playing very much 3 card poker (maybe 200 hours of that game over 20 years).
48/22,100 = .2172% of hands, 52/22,100 = .2353% of hands, and 720/22,100 = 3.2579% of hands. Multiply those 3 chances together, and you get less than .0001% of seeing all of them in any given session, though you must multiply that by how many hands you play, and the percentage climbs a little each time. (For example, if you play 200 hands - about 4 hours - your chance is about .0033%.) And yet it happens.
I should add my usual disclaimer: I'm not a math guy, so I could be figuring this wrong. Corrections welcome if necessary.
Yeah, I'm pretty sure that math is not correct... consider in the time it would take to get the straight flush in an average number of hands... you would probably already have gotten the trips and the straight. My guess is that the average number of hands needed is something a bit higher but not quite double the hands needed for a SF.
Edited to add.... my schooling is too far gone for me to remember how to figure this out!
Quote: rsactuaryYeah, I'm pretty sure that math is not correct... consider in the time it would take to get the straight flush in an average number of hands... you would probably already have gotten the trips and the straight. My guess is that the average number of hands needed is something a bit higher but not quite double the hands needed for a SF.
Edited to add.... my schooling is too far gone for me to remember how to figure this out!
Actually, if you notice, it's almost as hard to get 3OAK as it is to get a SF : 52 vs. 48 hands. However, I agree I'm doing something wrong just to multiply them, because if that was correct, you should still get all 3 in 22,100 (significantly less than that) and you don't.
So, you get a SF 1 in 460 hands, and 3oak 1 in 425 hands, and a straight 1 in 31 hands. With no intersection between SF and 3OAK, that would mean you should expect to play about 900 hands on average to get all 3 of those.
Quote: beachbumbabsActually, if you notice, it's almost as hard to get 3OAK as it is to get a SF : 52 vs. 48 hands.
That's why I said it's probably close to double but not quite :-)
