vpFREE2 Forums

Mini Trip Report/First Royal

I wonder if anyone knows the probability of getting a 4-card royal flush
vs. a 5-card royal flush.

I am talking about hands where you draw to a 1, 2, 3 or 4-card royal and
end up with 4.

How often should that happen, compared with the number of times you end
up with an actual Royal Flush?

The reason I ask is this: I think I've hit my share of RF, but it has
been over a year since I hit my last one!! But I have kept rough track
in my head of the number of times I have ended up with 4 of the cards,
and I can say with no exaggeration that it is about 180 times, maybe
more.

I'm just curious as to how unlikely that is. Or maybe it isn't all that
unlikely. I DO know that we are all going to get many more 4-card royals
(or flushes or straights) compared with 5-card ones.

Thanks for any input.

I wonder if anyone knows the probability of getting a 4-card royal

flush

vs. a 5-card royal flush.

I am talking about hands where you draw to a 1, 2, 3 or 4-card

royal and

end up with 4.

How often should that happen, compared with the number of times you

end

up with an actual Royal Flush?

The reason I ask is this: I think I've hit my share of RF, but it

has

been over a year since I hit my last one!! But I have kept rough

track

in my head of the number of times I have ended up with 4 of the

cards,

and I can say with no exaggeration that it is about 180 times, maybe
more.

I'm just curious as to how unlikely that is. Or maybe it isn't all

that

unlikely. I DO know that we are all going to get many more 4-card

royals

···

On average, for each time that you draw to a five-card royal, you should expect 46 four-card royals. --- In vpFREE@yahoogroups.com, dija800@w... wrote:

(or flushes or straights) compared with 5-card ones.

Thanks for any input.

For each suit you can have any one of the other 47 cards along with
the 5 4RF combinations (missing A,K, Q, J or T). Hence there are 47x5
= 235 combinations of 4RF for each RF. However, in most cases you
actually discard a few cards so the number you see should be somewhat
less. The exact number will differ based on strategy, however 180 is
still below the mean.

Dick

I wonder if anyone knows the probability of getting a 4-card royal

flush

vs. a 5-card royal flush.

I am talking about hands where you draw to a 1, 2, 3 or 4-card

royal and

end up with 4.

How often should that happen, compared with the number of times you

end

up with an actual Royal Flush?

The reason I ask is this: I think I've hit my share of RF, but it

has

been over a year since I hit my last one!! But I have kept rough

track

in my head of the number of times I have ended up with 4 of the

cards,

and I can say with no exaggeration that it is about 180 times, maybe
more.

I'm just curious as to how unlikely that is. Or maybe it isn't all

that

unlikely. I DO know that we are all going to get many more 4-card

royals

···

--- In vpFREE@yahoogroups.com, dija800@w... wrote:

(or flushes or straights) compared with 5-card ones.

Thanks for any input.