What is the percentage of a Royal Flush in poker?

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RON1N71

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  • #1
What is the percentage of a Royal Flush in poker?
 
ztibor72

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  • #2
RON1N71 said:
What is the percentage of a Royal Flush in poker?
From Wikipedia:
The odds of making a five-card royal flush out of a 52-card deck are 4/2,598,960.
This translates to a 0.000154% chance of making poker's ultimate hand.
The odds against making a royal flush are 649,739-to-1.

:)
 
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yogo9

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  • #3
There are 4 royal flushes out of 52c5 possible hands, which is (52 * 51 * 50 * 49 * 48) / (5 * 4 * 3 * 2 * 1) = 2598960.

So knowing nothing about your holding, the probability of receiving 2 cards that can participate in a royal flush and then having the flop be the other 3 royal flush cards is 4/2598960, or 1/649740.
 
Noodeloo

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Ok then maths buffs. If you are holding a premium capable of making a royal what would the odds be then?
Kudos points to the answerer
 
Noodeloo

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  • #5
thought this might be a good read for people...

(found at 888poker strategy pages)


 
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Magallaneroy

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  • #6
Less than 0.84%. is extremely difficult.
 
Mr.$t0k

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  • #7
I never catch Royal Flush in my poker life, i think that it is something unreal
 
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