4 to a Royal Promotions

[HIOPTVP]

Hi, I am wondering if there is a way to factor in $10 free play for each 4 to a royal in a software such as VP4Winners, as far as finding optimal strategy and overall return of the game. Assume non wild game like BP.

Thanks

[olds442jetaway]

I am not sure of the question. In general you will only see 4 to a Royal once in a fairly long session. I forget how many hands long term go by before one is dealt 4 to a royal

[olds442jetaway]

Now I remember.....long term every 5 hours or so of play or every 2777 hands.

[Vman96]

I am not sure of the question. In general you will only see 4 to a Royal once in a fairly long session. I forget how many hands long term go by before one is dealt 4 to a royal

I guess we need a clarification now, it's it $10 FP for missing a dealt 4 to Royal, or $10 for any 4 to a Royal finishing hand?

[FloridaPhil]

Now I remember.....long term every 5 hours or so of play or every 2777 hands.

I have never heard this number before. Sounds about right. It always amazes me given how common they are, that we don't hit more royals than we do.

[Waiting4RF]

Now I remember.....long term every 5 hours or so of play or every 2777 hands.

I have never heard this number before. Sounds about right. It always amazes me given how common they are, that we don't hit more royals than we do.

The math experts can correct this if wrong. If you get 4 to the royal dealt, then the math says you have a 1 in 47 chance to get the royal on the draw. So, 2777 x 47 is 130,519. That means you have a 1 in 130,519 chance of getting a royal this way each hand.

[FAA]

This thread was so top of mind today that I photographed a 4RF, consecutive diamonds. No King. Assassinated?

[Vman96]

Now I remember.....long term every 5 hours or so of play or every 2777 hands.

I have never heard this number before. Sounds about right. It always amazes me given how common they are, that we don't hit more royals than we do.

The math experts can correct this if wrong. If you get 4 to the royal dealt, then the math says you have a 1 in 47 chance to get the royal on the draw. So, 2777 x 47 is 130,519. That means you have a 1 in 130,519 chance of getting a royal this way each hand.

The correct number for a hand containing 4 to a royal is actually 5*4*47/2,598,960 or about 1 in 2765. But thinking about it, some of those combinations are dealt king high straight flushes, so really you'll only be going for the royal: 4*4*47/2,598,960 + 4*46/2,598,960 = 1 in 2776.6666 like olds said.

And yes it's a 1 in 47 chance to convert leading to a converted four to a royal once every 130,503 hands, which in 9/6 JoB means roughly 40,390/130,503 = 30.94% of royals come from drawing one card.

[onemoretry]

I believe I've read somewhere that the most common route to a royal is a two card draw to a three card hold.

[kutzeh]

These odds aren't working for me...I've played many, many hands and have made it into the first 100's twice..What am I doing wrong??