billryan

Joined: Nov 2, 2009
• Posts: 10368
October 27th, 2020 at 10:43:34 AM permalink
Can anyone give the frequency of getting 1)a rainbow flush-a hand with all four suits and 2)the same for all four suits and an Ace.
Would the second happen approx 1/13th of the first hand?
unJon
Joined: Jul 1, 2018
• Posts: 2422
October 27th, 2020 at 11:05:30 AM permalink
Quote: billryan

Can anyone give the frequency of getting 1)a rainbow flush-a hand with all four suits and 2)the same for all four suits and an Ace.
Would the second happen approx 1/13th of the first hand?

From a five card poker hand? Dealt, no draw?
The race is not always to the swift, nor the battle to the strong; but that is the way to bet.
billryan

Joined: Nov 2, 2009
• Posts: 10368
October 27th, 2020 at 11:29:51 AM permalink
Regular JOB game.
gordonm888
Joined: Feb 18, 2015
• Posts: 2851
October 27th, 2020 at 5:20:15 PM permalink
The odds of the first five cards dealt in a VP game having all 4 suits is 26.275% (approx.)
So many better men, a few of them friends, are dead. And a thousand thousand slimy things live on, and so do I.
billryan

Joined: Nov 2, 2009
• Posts: 10368
October 27th, 2020 at 5:29:50 PM permalink
Thank you, and as a final hand if that can be factored in. I realize much of that depends on what is held, but even a general estimate would be helpful. It's for a silly bar bet and I thought it would be easier to find.
gordonm888
Joined: Feb 18, 2015
• Posts: 2851
October 28th, 2020 at 10:17:45 AM permalink
I spent some time thinking about the final hand and its a very complex calculation which would take me many hours. The answer is almost certainly between 15% and 35% and I would not be surprised to see it be close to the 26% number I quoted for 5 random cards from a 52 card deck.

Simulation would really be best - if one of the simulation gurus in the forum would be willing to do it (VP has so many strategy rules, it makes simulation pretty complicated.)

One approach would be to for you to play, say, 100 hands on an online video poker and keep track of how many hands were rainbow. That would provide an estimate.
So many better men, a few of them friends, are dead. And a thousand thousand slimy things live on, and so do I.
billryan

Joined: Nov 2, 2009
• Posts: 10368
October 28th, 2020 at 10:19:44 AM permalink
malgorium
Joined: Aug 14, 2013
• Posts: 60
October 30th, 2020 at 8:43:00 PM permalink
Quote: gordonm888

The odds of the first five cards dealt in a VP game having all 4 suits is 26.275% (approx.)

How did you calculate this? I'm getting 26.375% and I'm not sure if I'm doing something wrong...
miplet
Joined: Dec 1, 2009
• Posts: 1953
Thanks for this post from:
October 31st, 2020 at 7:55:06 AM permalink
Quote: malgorium

How did you calculate this? I'm getting 26.375% and I'm not sure if I'm doing something wrong...

Gordonm888 probably (pun intended) had just miss typed the 3 as 26.375% is correct.
Last edited by: miplet on Oct 31, 2020
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gordonm888
Joined: Feb 18, 2015