Len Fromm in one of his early books had a chapter titled
"Where do Royals Come From?
My notes from that book, plus my own analysis,
show the following for 69JoB
RF5 1 in 649,740 deals 6% of all royals
RF4 1 in 47 draws 31% " " "
RF3 1 in 1,061 " 41% " " "
RF2 1 in 16215 " 21% " " "
RF1 1 in 511K " 1% " " "
Razgu 1 in 400k " 0.3% " " "
This assumes correct strategy for a 4,000 coin royal.
Correct strategy on progressives generally means playing more
RF3, RF2 hands. thus increasing their frequency.
That's the theory based on the "long term".
In real life I have 68 royals (and counting) in casinos.
That represents about 3 million hands.
According to the theory I should have been dealt 1/16 of these.
How many dealt royals can I claim?
Only 1 of 68.
When the heck does the "long term" arrive??
Brian
________________________________
From: runningfrog88 <pittstj@gmail.com>
To: vpFREE@yahoogroups.com
Sent: Monday, November 26, 2012 11:08:33 AM
Subject: [vpFREE] Starting hands that result in RF
I looked around for a while, but can't seem to find this posted anywhere.
I'm familiar with the math for the likelihood of getting a RF holding 4 cards (1 in 47), 3 cards (1 in 1081), etc. And I am familiar with the RF cycle representing the overall frequency.
What proportion of RF results come from the various starting positions?
Example: For 9/6 JoB, what proportion of RF results come from holding RF4, RF3, RF2, RF1, etc?
Do 62% of Royals come from being dealt four to a royal? 21% come from being dealt 3 to a royal? etc?
Thanks in advance. Doubly so if there is a really obvious link I should have found before. :)
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