![]() ![]() Now, if the Six Spot has a probability of 0.000128984939112, then the probability of it not hitting is one minus that and it would need to fail to hit twelve consecutive times in Bonus Games: The first step in doing this is to determine how likely it is to hit the Six-Spot during Free Games, but not Free Games that resulted from us already hitting 7/7 because we would have already won the Progressive: Okay, so now we need to isolate the Six Spot win to determine how much the Progressive increase would need to be to have a positive play. (Please keep in mind that the Bonus Return will differ from Wizard of Odds because we are not multiplying the Six Spot win by two)Ġ.3317336091155236203932673550272+0.555949746456272 We can now multiply the Unit return of the Bonus Games by the probability of the Bonus Games to get the overall return of the Bonus Games: ![]() The overall return of the game, not including Bonus Games: ![]() The probability of hitting the last number will always be 6/80, so we simply need to know the probabilities of hitting 2-5 more numbers: That means that the average Free Games will be worth 1.59559 units in this game.Įven though the Bonus probabilities are given on The Wizard of Odds page, the point of this exercise is to learn how to figure them out ourselves. Remember, all wins except 6/6 will be doubled on this theoretical Cleopatra Keno game: The first thing that we will need to determine is the pays of the Bonus Games, fortunately, that's really easy because we are going to use the Base Paytable, with the associated Pays/Probabilities multiplied by 12, because that's how many Free Games you get. We will also use a base paytable found on the Wizard of Odds Cleopatra Keno page, the NYNY paytable: The first thing that we need to determine is the likelihood of any win, however, the Wizard of Odds Keno Calculator does that for us: Furthermore, we are also going to say that the Progressive is awarded in the event that the player hits 6/6, however, the Progressive amount is not doubled on the Free Games. In Cleopatra Keno, the player selects 2-10 numbers, and if the player gets a winning combination with the last ball hitting, the player is awarded 12 Free Games in which all wins are doubled.īecause this is a theoretical Progressive for Cleopatra Keno, we are going to go ahead and base it on a Six-Spot Keno game. While it is true that I have not seen a Cleopatra Keno game with a Progressive before, we are going to use a theoretical Cleopatra Keno Progressive in this article because it will provide a simple way to understand how to calculate something of this nature. ![]() For those of you who found the Math on the last two Articles difficult, you can breathe a sigh of relief, as the Math is easier on this one. For this article, we are going to analyze a Progressive game in which there are Bonus Games that are triggered when the final number hits on a winning combination, but that final number is, in fact, one of the numbers the player has selected. ![]()
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