stam36
• Posts: 2
Joined: Jun 29, 2022
June 29th, 2022 at 11:19:57 AM permalink
Hi WOV,

How I calculate the probability to get each of the hands in video poker? it makes me trouble because we can hold some cards in the first hand and change them to something else.
And also i want to knew what is the exactly probability for each of the option.

For just 5 cards i knew how to do the math
For example:
Jack's or better = [combin(4,1)*combin(4,2)*combin(12,3)*combin(4,1)*combin(4,1)*combin(4,1)] / combin(52,5)
2 pairs = [combin(13,2)*combin(4,2)*combin(4,2)*combin(11,1)*combin(4,1)] / combin(52,5)/
.
.
.
Royal Flash = 4 / combin(52,5)

Regards,
Stam.
camapl
• Posts: 427
Joined: Jun 22, 2010
June 29th, 2022 at 12:49:26 PM permalink
Hello, and welcome to the forums!

For 5-card (results of the deal), it really is that simple. How many occurrences out of 52 choose 5.

As for final hands (results of the draw), it’s “not so simple”, as it depends on all of the hold decisions. Are you playing perfect strategy, basic strategy, “ploppie” strategy, or channeling your VP chakras? Which game are you playing? Almost every game has a different strategy than every other game (except for “ploppie”?). If either perfect or basic was your answer, then the work has been done for you! Enter the pay table into the VP Analyzer on wizardofodds.com, and divide the number of combinations for your hand by the total combinations. The first chart of the output is for perfect strategy, and the second chart is for basic strategy. If you prefer to or have to calculate this yourself, then you must write a program (or tweak an existing one) to analyze your game’s pay table. It really is this complicated. Maybe someone else has a shortcut…
Expectation is the root of all heartache.
BleedingChipsSlowly
• Posts: 1033
Joined: Jul 9, 2010
June 30th, 2022 at 12:31:07 AM permalink
Video Poker Analyzer
Last edited by: unnamed administrator on Jun 30, 2022
“You don’t bring a bone saw to a negotiation.” - Robert Jordan, former U.S. ambassador to Saudi Arabia
stam36
• Posts: 2
Joined: Jun 29, 2022
June 30th, 2022 at 1:22:25 AM permalink
Hello,

For example in a perfect strategy in Jack's or Better is there 356,447,740,914 combination to get a pair of Jacks.or up,
and 41,126,022 comibations to get a Royal Flush out of 1,661,102,543,100 combinations

So i want to know what is the way and the calculate to get to this numbers?

Dieter
• Posts: 5611
Joined: Jul 23, 2014
June 30th, 2022 at 1:43:32 AM permalink
Quote: BleedingChipsSlowly

edit: formatting
May the cards fall in your favor.
ThatDonGuy
• Posts: 6407
Joined: Jun 22, 2011
July 1st, 2022 at 8:11:23 PM permalink
Quote: stam36

Hello,

For example in a perfect strategy in Jack's or Better is there 356,447,740,914 combination to get a pair of Jacks.or up,
and 41,126,022 comibations to get a Royal Flush out of 1,661,102,543,100 combinations

So i want to know what is the way and the calculate to get to this numbers?