AceHound
AceHound
Joined: Jun 2, 2010
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May 16th, 2012 at 11:26:18 AM permalink
What are the odds on making a royal flush in hold'em?

What are the odds on making a royal flush in hold'em using both hole cards?

What are the odds on making a royal flush in hold'em using both hole cards and one hole card must be an ACE?

What are the odds on making a royal flush in hold'em using both hole cards and one hole card must be an ACE in a specific suit?

Thanks in advance.
ChesterDog
ChesterDog
Joined: Jul 26, 2010
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Thanks for this post from:
smoothgrh
May 16th, 2012 at 12:34:29 PM permalink
Here are the probabilities I get for your making a royal flush on one hand of hold'em:

Using 0, 1, or 2 of your hole cards: 1 in 30,940
Using both of your hole cards: 1 in 64,974
Using your ace and your other hole card: 1 in 162,435
Using your ace and your other hole card to get a royal flush in spades: 1 in 649,740
Themuckster
Themuckster
Joined: Apr 3, 2019
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April 3rd, 2019 at 4:09:26 AM permalink
What are the odds of FLOPPING a Royal Flush in Holdem?

What are the odds of FLOPPING a Royal Flush of a specific suite in Holdem?

Thanks in advance!
ThatDonGuy
ThatDonGuy
Joined: Jun 22, 2011
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Thanks for this post from:
Themuckstersmoothgrh
April 3rd, 2019 at 6:51:51 PM permalink
Quote: Themuckster

What are the odds of FLOPPING a Royal Flush in Holdem?

What are the odds of FLOPPING a Royal Flush of a specific suite in Holdem?

Thanks in advance!


There are 2,598,960 sets of five cards (hole cards and flop). I assume that's what you mean by "flopping a Royal Flush."

Of these, four are Royal Flushes, so the probability is 1 / 649,740.

For a specific suit, there is only one set of five cards that does that, so the probability is 1 / 2,598,960.

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