Royal flush odds questions

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.

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

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!

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.