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Starting hands that result in RF

Don't have a link. This was posted on this list about two years ago and I saved it because I found it interesting. I'm pretty sure it was for JoB strategy:

6% are dealt - chances of getting it are 1 in 649,740 deals
31% from 4 card hold - chance of filling is 1 in 47
41% from 3 card hold - chance of filling is 1 in 1,081
19% from 2 card hold - chance of filling is 1 in 16,215
3% from 1 card hold - chance of filling is 1 in 178,365
0.3% from draw 5 - chance of filling is 1 in 500,000

--BG

ยทยทยท

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1a. Re: 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. :slight_smile:
>

Don't have a link. This was posted on this list about two years ago and I saved it because I found it interesting. I'm pretty sure it was for JoB strategy:

6% are dealt - chances of getting it are 1 in 649,740 deals

31% from 4 card hold - chance of filling is 1 in 47

41% from 3 card hold - chance of filling is 1 in 1,081

19% from 2 card hold - chance of filling is 1 in 16,215

3% from 1 card hold - chance of filling is 1 in 178,365

0.3% from draw 5 - chance of filling is 1 in 500,000

--BG

Looks about right --- except for the chance from draw 5. If you do NOT have a 10, the chances are 1 in 383,484.75. If you do have a 10, the odds are 1 in 511,313. To figure out the weighted average you need to enumerate the number of Draw 5 hands that do and do not contain a 10. That's more work than I want to undertake right now, but 1 in 500,000 expresses longer odds than actually exist.

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