piroukay
piroukay
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June 5th, 2018 at 6:06:13 PM permalink
Hello, I'm about to say something which might be stupid/wrong/funny:

On Wikipedia, the page explaining odds for 5 card poker gives a full house, odds of 693:1.

Just to be clear, a full house consists of a pair, alongside 3 of a kind. (Pair + three of kind)

I'm curious to know the approximate (or exact) odds of:
Pair + flush
Pair + straight
Pair + straight flush.

Five cards in the hand each time.

Many thanks for reading.
prozema
prozema
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June 5th, 2018 at 6:24:53 PM permalink
You have a 0% chance of having a pair with a flush or a straight using a single deck with a 5 card hand.
ThatDonGuy
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piroukay
June 5th, 2018 at 6:56:12 PM permalink
I think the original poster means, what is the chance of getting:
(a) a pair and 3 to a flush
(b) a pair and 3 to a straight
(c) a pair and 3 to a straight flush

I get:
Pair and 3 to a flush: 75,624 / 2,598,960 = about 1 / 34.37
Pair and 3 to a straight: 45,072 / 2,598,960 = about 1 / 57.66
Pair and 3 to a straight flush: 3312 / 2,598,960 = about 1 / 784.71

Note that a pair & straight flush is not also counted as pair & straight or pair & flush
DJTeddyBear
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June 6th, 2018 at 8:24:20 AM permalink
Quote: ThatDonGuy

I think the original poster means, what is the chance of getting:
(a) a pair and 3 to a flush
(b) a pair and 3 to a straight
(c) a pair and 3 to a straight flush

If you’re gonna infer anything, I would think he meant a pair with FOUR cards to a ...

But since he felt the need to explain what a FH consists of, I think Prozema had the right answer: 0%.
I invented a few casino games. Info: http://www.DaveMillerGaming.com/ ————————————————————————————————————— Superstitions are silly, childish, irrational rituals, born out of fear of the unknown. But how much does it cost to knock on wood? 😁
piroukay
piroukay
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June 6th, 2018 at 9:42:52 AM permalink
The Don guys inference is correct.
Five card poker with just 5 cards.

From time to time whilst dealing five card poker, a hand comes out where the player has a pair and the remaining 3 cards make a straight, or a flush.

Just curious.
Ibeatyouraces
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June 6th, 2018 at 10:21:57 AM permalink
Quote: DJTeddyBear

If you’re gonna infer anything, I would think he meant a pair with FOUR cards to a ...

But since he felt the need to explain what a FH consists of, I think Prozema had the right answer: 0%.


He's talking about hands like these:

2♠️ 2♥️ 6♣️ 7♣️ 8♣️
5♦️ 5♠️ 9♥️ 10♦️ J♠️
4♥️ 4♠️ 2♦️ 7♦️ K♦️
DUHHIIIIIIIII HEARD THAT!
DJTeddyBear
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June 6th, 2018 at 1:26:41 PM permalink
Quote: Ibeatyouraces

He's talking about hands like these:

2♠️ 2♥️ 6♣️ 7♣️ 8♣️
5♦️ 5♠️ 9♥️ 10♦️ J♠️
4♥️ 4♠️ 2♦️ 7♦️ K♦️

And I’m thinking:
2♠️ 2♥️ 3♥️ 4♥️ 5♥️
Etc.

Whatever...
I invented a few casino games. Info: http://www.DaveMillerGaming.com/ ————————————————————————————————————— Superstitions are silly, childish, irrational rituals, born out of fear of the unknown. But how much does it cost to knock on wood? 😁
Ibeatyouraces
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piroukay
June 6th, 2018 at 1:48:13 PM permalink
Quote: DJTeddyBear

And I’m thinking:
2♠️ 2♥️ 3♥️ 4♥️ 5♥️
Etc.

Whatever...


He'll have to let us know if those are included. I mean, really, a royal flush is just an ace high straight flush with a special name. There's no special name for the nut full house AAAKK, so why have one for a straight flush?
DUHHIIIIIIIII HEARD THAT!
prozema
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June 6th, 2018 at 10:25:15 PM permalink
I stand corrected. I'm curious though... What is the value of this information? It seems like the draws to the stronger hand would be a more useful data point.
piroukay
piroukay
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June 13th, 2018 at 7:53:07 AM permalink
Yep. That's right, they come up from time to time. These things make me wonder.
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