I believe this is correct ... assuming a 40,000 game royal cycle...
Assuming 100 "lifetime" games, the odds are 1 in 16,162,016
Assuming 1,000 "lifetime" games, the odds are 1 in 1,601,642
Assuming 50,000 "lifetime" games, the odds are 1 in 32,001
Assuming 100,000 "lifetime" games, the odds are 1 in 16,000
Assuming 500,000 "lifetime" games, the odds are 1 in 3,200
Assuming 1,000,000 "lifetime" games, the odds are 1 in 1,600
Note that the odds above are for getting "one or more" back to back royals.
The proper way to interpret the numbers above is this way: "I am a 'clean
slate' when it comes to video poker ... the odds that I get 2 back-to-back
royals at least once sometime in the next xxxx hands is ####."
You might be able to do it with a binomial distribution. I've been thinking
about it while I waited for Excel to calc the numbers above, and I'm not
100% sure. You have to be careful. Let's say P(2 royals) is the probability
that you get two royals in a row. And you want to see what the probability
is this will happen within the next 1,000 games. It might be tempting to do
a Binomdist using the P(2 royals), but I think this would be wrong. For
example, if you are on game 1 and you fail to hit a royal, you can get a
royal on game 2 and then another on game 3 and satisfy the conditions. I do
not see how the binomial distribution takes that into account.
If anyone thinks they can do it with a binomial distribution, please show
me. That would be very helpful.
···
On Wed, Mar 9, 2011 at 5:39 AM, <coachvee@aol.com> wrote:
Hi Gang:
We have a friend who is a comedian who works on cruise ships. He's also a
video poker player and right now he's on the Allure of the Seas, one of
Royal Caribbean's two new mega-ships (the Oasis is the other).
He sent us an email the other day about an unbelievable occurrence that
happened to him onboard. He was playing 50-cent DDB when he held three
cards
to a clubs royal and hit it for $2,000. After getting his hand pay, on the
VERY NEXT hand, he held a queen of spades and got another royal!!
He posted pictures of the royals on his Facebook Page and it was amazing to
see.
He asked us if we had ever heard of anyone doing this before and we wrote
back that we have friends who live in California who also had this happen
to
them.
My questions are:
1) Is it possible to compute the odds of this once-in-a-lifetime happening?
2) Does anyone else on these boards have any other stories of back-to-back
royals?
Regards,
CoachVee & Hedy
PS: Hedy and I will be staying/playing at Showboat in AC this weekend
because I will be playing poker in the AtLarge Tournament events next door
at
the Taj. I know Siona and Llew of the AC group will be playing as well but
was wondering if any other members of these boards will be taking part.
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