No Royal in 100k Hands?
 

Math makes my head hurt.

I was checking out my PokerTracker stats and noticed that in 100k hands, I've never had a Royal Flush. This includes all hands, even those that I folded preflop or at any point.

If anyone cares to give me the odds on this, I'd be curious.

Thanks.

Re: No Royal in 100k Hands?
 

=BINOMDIST(0,100000,4 * COMBIN(47,2)/COMBIN(52,7),FALSE)

or about 3.95% of the time you will not have one in 100k hands.

Re: No Royal in 100k Hands?
 

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=BINOMDIST(0,100000,4 * COMBIN(47,2)/COMBIN(52,7),FALSE)

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Huh?

Re: No Royal in 100k Hands?
 

To put it simpler: The probability of getting a royal is 1/30940. The probability of not getting a royal is 30939/30940. So:

(30939/30940)^100000 = ~3.95%

Re: No Royal in 100k Hands?
 

Of course this assumes you play every hand to the river. There may have been times where you would have had a royal but didn't stay in the hand.

Re: No Royal in 100k Hands?
 

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This includes all hands, even those that I folded preflop or at any point.

If anyone cares to give me the odds on this, I'd be curious.

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[ QUOTE ]
Of course this assumes you play every hand to the river. There may have been times where you would have had a royal but didn't stay in the hand.

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