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[NascarFanSS]

What are the odds of getting a Royal Flush. Not good but I've gotten 5 of them that I can remember off hand. Online poker must be rigged to get that hand so many times, right? It's laws of large numbers people...big hands happen.

I don't recall saying the word rigged at all in my post .. I asked what the chances are .. I have hit 4 or 5 royals myself but I still believe the odds of that have to be better than 3 pocket pairs with only 4 people ..

[Mrlova]

I don't recall saying the word rigged at all in my post .. I asked what the chances are .. I have hit 4 or 5 royals myself but I still believe the odds of that have to be better than 3 pocket pairs with only 4 people ..

The odds of hitting a Royal Flush in Holdem are: 0.000001539% of the time

Since this part gets tricky I'm going to assume worst case scenario. You have been dealt 2's in a handed game:

The odds of 2 pp in 4 handed play in Holdem are: 17.63% of the time
The odds of 3 pp in 4 handed play in Holdem are: 3.109% of the time
The odds of 4 pp in 4 handed play in Holdem are: 0.548% of the time

Those odds are assuming you have 2's and your opponents have higher pocket pairs. Because the math is complicated enough to figure out those calculations, I have not taken into consideration of your opponents having the same hand (i.e., 2 having Aces and another have say 8's or something)

The odds of being dealt pocket 2's in a 4 handed game 5.9%, and in reality it doesn't matter if it's heads up or 10 handed. The odds of getting a pocket pair are always 1 in 16 or 5.9%. The odds calculated above again are the chances of those pocket 2's being beat by a larger pocket pair pre-flop.

And since you're wondering it and to prove my point even further that this isn't that rare, let's assume you were dealt J's. The odds of you being beat preflop using the same calculations as above are:

The odds of 2 pp in 4 handed play in Holdem are: 4.408% of the time
The odds of 3 pp in 4 handed play in Holdem are: 0.194% of the time
The odds of 4 pp in 4 handed play in Holdem are: 0.00008565% of the time

So even there, the odds of getting deal pocket Jacks in a 4 handed game and being up against 3 larger pocket pairs is still less then that of getting a royal flush. Hence, getting dealt a Royal Flush in poker is less common then the above scenarios.

[Mrlova]

The odds of hitting a Royal Flush in Holdem are: 0.000001539% of the time

Since this part gets tricky I'm going to assume worst case scenario. You have been dealt 2's in a handed game:

The odds of 2 pp in 4 handed play in Holdem are: 17.63% of the time
The odds of 3 pp in 4 handed play in Holdem are: 3.109% of the time
The odds of 4 pp in 4 handed play in Holdem are: 0.548% of the time

Those odds are assuming you have 2's and your opponents have higher pocket pairs. Because the math is complicated enough to figure out those calculations, I have not taken into consideration of your opponents having the same hand (i.e., 2 having Aces and another have say 8's or something)

The odds of being dealt pocket 2's in a 4 handed game 5.9%, and in reality it doesn't matter if it's heads up or 10 handed. The odds of getting a pocket pair are always 1 in 16 or 5.9%. The odds calculated above again are the chances of those pocket 2's being beat by a larger pocket pair pre-flop.

And since you're wondering it and to prove my point even further that this isn't that rare, let's assume you were dealt J's. The odds of you being beat preflop using the same calculations as above are:

The odds of 2 pp in 4 handed play in Holdem are: 4.408% of the time
The odds of 3 pp in 4 handed play in Holdem are: 0.194% of the time
The odds of 4 pp in 4 handed play in Holdem are: 0.00008565% of the time

So even there, the odds of getting deal pocket Jacks in a 4 handed game and being up against 3 larger pocket pairs is still less then that of getting a royal flush. Hence, getting dealt a Royal Flush in poker is less common then the above scenarios.

I wrongfully said the odds of getting 2's are 5.9%, in reality that is any pocket pair. My bad! If it makes a difference to anyone the odds of being dealt pocket 2's is 0.45% or 1 in 220 hands