Joker Poker Plus

Hi!

My first post here...

Here in Estonia we have a Video Poker called “Joker Poker Plus”
The game is played with a deck of 52 cards plus one joker.
You can also win bonus rounds where there is an extra joker
in the deck (54 cards with two jokers).
If you win with a Flush or better, then you get five bonus rounds:
In the 5 next games, there will be TWO Jokers in the deck.
While you are playing the Bonus Joker Rounds, you cannot win additional rounds.

“Joker Poker Plus” Paytable (bet 1):

Royal Flush 200
Wild Royal Flush 200
5 of a Kind 100
Straight Flush 30
4 of a Kind 15
Full House 8
Flush 4
Straight 3
3 of a Kind 2
Two Pairs 2

Any idea how to analyze this game?

-Jaak

Return with ONE joker 92,29%
Return with TWO jokers 131,45%

But how do I combine those figures?

-Jaak

Sounds like a fun game. If your figures are right, then the value of five games with two jokers is 5*(1.3145-1) = 1.5725. So you can analyze the one-joker game by adding 1.5725 to all the flush-or-better returns and running it through any standard VP calculator. I get about 99.5% combined return.

This is not quite right because it treats the two-joker hands like a bonus round, rather than including them in the total amount you're wagering. Including the two-joker hands in the total amount wagered will reduce the house edge by about 20%, so about 99.6% overall return.