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What percent of Royals come from holding 1 through 4 HC of same ...

Thanks Brian. I find it interesting that 41% come from 3 card holdings.

Bob from PA

[Non-text portions of this message have been removed]

Thanks Brian. I find it interesting that 41% come from 3 card

holdings.

Bob from PA

I thought there were a few counter intuitive results;

Source of Royals - Jacks or Better

41% come from 3cd RF
31% come from 4cd RF
19% come from 2cd RF
6% are dealt
3% come from 1HC
0.3% come from draw 5

3 cd generating more than 4 cd and dealt accounting for more than 1
HC or Draw 5. Both these seem they would be more likly to generate
a royal.

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--- In vpFREE@yahoogroups.com, BOBBJ@a... wrote:

Yeah, that's because you get to play the 3cd RF so often. Obviously
it would be lower than 41% in DB, where a 4-flush is usually the
better keep.

My lifetime stat (22 royals) is 45% from this hand.

On the other hand, less than 20% of mine have come from 4cd RF. I
figure I went 0 fer 200 on filling this before I finally caught one.

B.

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--- BOBBJ@aol.com wrote:

Thanks Brian. I find it interesting that 41% come from 3 card
holdings.

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Actually, .3% from drawing five new cards makes sense to me. I'm
guessing the reason so many more royals are dealt is because there are
proportionately fewer hands where you toss all five cards. On the
redraw (assuming one of the cards you tossed wasn't a ten), there
should be a 1 in 650,000 chance of hitting a royal (same odds as a
dealt royal)...it's just that you end up in that position much less
frequently, obviously, since you could theoretically get a dealt royal

···

on any hand. Right? --- In vpFREE@yahoogroups.com, "worldbefree22001" <krajewski.sa@p...> wrote:

I thought there were a few counter intuitive results;

> Source of Royals - Jacks or Better
>
> 41% come from 3cd RF
> 31% come from 4cd RF
> 19% come from 2cd RF
> 6% are dealt
> 3% come from 1HC
> 0.3% come from draw 5

3 cd generating more than 4 cd and dealt accounting for more than 1
HC or Draw 5. Both these seem they would be more likly to generate
a royal.

Actually, it's approximately 1-in-383000 (if no discarded ten) as
you're drawing out of 47 cards, not 52. 1-in-511000 if you discarded a
ten.

JBQ

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On 1/17/06, discostu4761 <discostu4761@yahoo.com> wrote:

On the redraw (assuming one of the cards you tossed wasn't a ten), there
should be a 1 in 650,000 chance of hitting a royal (same odds as a
dealt royal)...

Actually, it's approximately 1-in-383000 (if no discarded ten) as
you're drawing out of 47 cards, not 52. 1-in-511000 if you discarded a
ten.

JBQ

> On the redraw (assuming one of the cards you tossed wasn't a ten),

there

> should be a 1 in 650,000 chance of hitting a royal (same odds as a
> dealt royal)...

Duh! How'd I miss that? Well, anyway, my point remains the same even
if the math was wrong...the .3% figure is only surprising if you don't
stop to think that you will toss all five cards relatively infrequently.

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--- In vpFREE@yahoogroups.com, Jean-Baptiste Queru <jbqueru@g...> wrote:

On 1/17/06, discostu4761 <discostu4761@y...> wrote:

.... Well, anyway, my point remains the same even
if the math was wrong...the .3% figure is only surprising if you

don't

stop to think that you will toss all five cards relatively

infrequently.

Yeah. I was so focused on the specific case I didn't stop to consider
that case only rarely happens. This and the prior answer about
realtive frequence of 3cd vs 4cd makes good sense. Thanks.