2 flopped royals in a row?

[toronexti]

Heard a story that a guy flopped 2 royal flushes back to back. Anyone wanna do the math on this?

[ciaran]

I get about 132.5K-1 for flopping a RF. This is based on having to catch two suited broadways in the first place, then flop the royal.

That'd make the odds of flopping two in a row about 17.5B-1, assuming you always see the flop when dealt suited broadways.

Of course, it gets a lot easier if you don't have to actually flop the royal, and if you can count royals that you don't actually stay in the hand to hit. Plus, I could be screwing the math up pretty severely.

Given the number of hands dealt online, it's probably fairly likely (near certainty?) that it's happened, at least in the case where the player would have flopped it had they seen the flop. Doesn't mean the particular story in question is true, of course.

[Bugsbunny]

5 cards for each royal

5 choose 2 = 10

4 suits =4 * 10 = 40 combinations of getting dealt 2 broadway suited cards.

52 choose 2 = 1326

40/1326 = 0.0301659125 = chances of getting dealt suited broadway

for any 2 preflop broadway cards there's only 1 combination that will give you a royal on the flop. So that gives:
1/(50 choose 3) = 1/19600

combining we get: 40/ (1326 * 19600) = 1/(1326 * 490) = 1/649740

so flopping a Royal is roughly 1 in 650K. Twice in a row, square that. so 1/ 422,162,067,600

If it hasn't happened it will. And it's true that if you're not talking a flopped Royal, but just a Royal by the river the chances get much better - especially if both hole cards don't have to be used. Maybe he caught the first Royal by the river then flopped the second one etc. Something like that has certainly happened at sometime or other.