hookturn
hookturn
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Joined: Feb 7, 2015
February 7th, 2015 at 12:25:52 PM permalink
We recently had a royal in diamonds come out on the board. 10, K, A on the flop, J, on the turn and Q on the river. Anyone know what the odds of that happening are?
Deck was well shuffled, cut and dealt with all appropriate burns.

Thanks,
Paigowdan
Paigowdan
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Joined: Apr 28, 2010
February 7th, 2015 at 1:28:35 PM permalink
In five cards for any Royal, it is 1 in 649,740, or 4 in 2,598,960. For diamonds specifically, it is 1 in 2,598,960.


Poker Hand Number of Combinations Probability
--------------------------------------------------------
Royal Straight Flush 4 .0000015391
Other Straight Flush 36 .0000138517
Four of a kind 624 .0002400960
Full House 3,744 .0014405762
Flush 5,108 .0019654015
Straight 10,200 .0039246468
Three of a kind 54,912 .0211284514
Two Pairs 123,552 .0475390156
One Pair 1,098,240 .4225690276
High card only 1,302,540 .5011773940

Total 2,598,960 1.0000000000
Beware of all enterprises that require new clothes - Henry David Thoreau. Like Dealers' uniforms - Dan.
Greasyjohn
Greasyjohn
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February 7th, 2015 at 1:33:08 PM permalink
This happened at a tournement not to long ago. I think it's on YouTube.
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