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**19 members have voted**

Quote:MentalHow can you build a mathematical model without including the early trigger rate or the payoff function for a given number of gems?Quote:knuckleheadQuote:MentalI have never seen a discussion of this game that alludes to the important features of this game vis a vis the break-even entry points. All I am going to say is that I play it at much lower values for Y/G/P than anything I have seen in print. I see many blue-gem vultures passing up +EV plays.

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So what are those features and what are your numbers?

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Excellent point. Expected spins to hit vs expected payoff when it does it. It’s not only the MHB that has value. But there must be more variance in taking it earlier as sometimes it will go to the MHB.

Every single MHB game has more variance per chase when you start earlier. This isn't unique to RR.Quote:knuckleheadExcellent point. Expected spins to hit vs expected payoff when it does it. It’s not only the MHB that has value. But there must be more variance in taking it earlier as sometimes it will go to the MHB.

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I don't worry much about RR variance. I could calculate the RR variance from my model, but I never did it. Variance seems pretty immaterial to me unless I am playing at $37.50 per spin.

So ... what are the entry numbers for the new version of this game??

Quote:SusannaI believe the purple and green move much more slowly as well. But I don't have any solid data on this version yet either.

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I can confirm they move much slower. But I have no numbers.

I assume that you are talking about the B&M version of Regal Riches. If you were to make a simple mathematical model of the game and create a formula for EV(P, G, Y) (Y = Gold), the first thing you would note is that the three variable would have different weights. In the simplest first-order approximation, EV = a*(P-Ps) + b*(G-Gs) + c*(Y-Ys) where a, b, and c are different linear coefficients. You could even take blue into account, but B is weighted so heavily that it dominates the EV calculation when B is large.Quote:CzarChasmI have been thinking about this game lately and I was wondering if maybe I am missing a lot of combination plays on it. If purple starts on 30 and is a play by 56, and the green starts on 40 and is a play by 81, does that mean half of each number is all that's needed to make it profitable? As in play it if purple is at 43 and green is at 61? That's not even taking the gold into account.

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This simple linear model won't work very well, but it is already better than your suggestion which sets a = b, meaning you weight P and G equally.

More sophisticated modeling will demonstrate that there are many nonlinear interaction between B, P, G, and Y. I think it makes more sense to use Monte Carlo simulation than to try to formulate some nonlinear equations from your understanding of the game.

Here is something to think about. Let us say you have Y=124 and B, P, and G are low. You probably won't make any money off of P and G before Y hits. However, you have a significant chance of B being left in a high state, which means that you have to play more spins after Y hits. This lowers your EV a bit. You will probably leave with P and G low, meaning you won't have to leave much value behind on these meters when you leave.

Contrast this to playing with Y=100. When Y hits, the other meters will essentially be in random states according to their own long term PDF. If they all started low and end up being moderately high, then you have created value for whoever plays next, and this lowers your EV. If they all started out higher than average, then you will probably leave less EV behind for the next player. If P or G are +EV when Y hits, you will play to capture that value and leave the meter at reset. But Y might trigger early on the first spin with some probability, so you have to factor this into your calculations of how the other meters affect the EV of a Y play.

I worked out a set of incremental EV for Y based including the current values of P and G. Depending on my estimate of the RTP of the game, I could then decide if I wanted to play Y. This allowed me to get some decent plays on Y that others would pass up. You have to be really lucky to stumble onto any significant value on P. If you are playing for P, then the values of G and Y rarely shift the entry point.

Even a simple MC model will show that all these B,P,G,Y interactions are asymmetric and highly nonlinear.

Quote:CzarChasmI have been thinking about this game lately and I was wondering if maybe I am missing a lot of combination plays on it. If purple starts on 30 and is a play by 56, and the green starts on 40 and is a play by 81, does that mean half of each number is all that's needed to make it profitable? As in play it if purple is at 43 and green is at 61? That's not even taking the gold into account.

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56 purple is NOT a play on regal lol. Sure people take it that low but they are long term losers.

wizardofodds.com/games/slots/regal-riches-prosperity-pearl/

Quote:CzarChasmI've seen different answers in different places but figured it was best to go with the wizard's advice, no?

wizardofodds.com/games/slots/regal-riches-prosperity-pearl/

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I wouldn't.

The Wizard says: My short answer is "I don't know."

Quote:SlotenthusiastQuote:CzarChasmI have been thinking about this game lately and I was wondering if maybe I am missing a lot of combination plays on it. If purple starts on 30 and is a play by 56, and the green starts on 40 and is a play by 81, does that mean half of each number is all that's needed to make it profitable? As in play it if purple is at 43 and green is at 61? That's not even taking the gold into account.

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56 purple is NOT a play on regal lol. Sure people take it that low but they are long term losers.

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There would seem to be only a few ways to figure out an entry point:

-- insider information from IGT

-- track the RTP for a very large number of plays starting at different entry points

-- build a model of the game from observations of the game in action

-- check to see what other APs/wannabes do and assume they know something

It seems a lot of APs choose the last option.

A ridiculously large fraction of the RTP comes from B, P, G, and Y wild games. The breakeven entry point for P will depend the level of the other three meters and on the RTP set for that specific machine. Of course, if B is high enough to influence your decision, you will probably just play and reevaluate after B wilds are triggered.