Cleopatra Comes Bearing Gifts

1. Free Keno Games Cleopatra
2. Play Cleopatra Keno For Free
3. Cleopatra Keno For Computer
4. Cleopatra Keno Online Casinos Real Money

The game of Keno has a rich history, dating all the way back to Ancient China, and Keno is even said to have helped fund the building of the Great Wall of China. So it is somewhat fitting that, after all this time, a variation of it has emerged that involves a character out of ancient history, Queen Cleopatra.

Cleopatra was the last ruler of Egypt’s Ptolemaic Dynasty, and although she lived over two thousand years ago, her legend lives on, and is particularly embodied in modern casino gaming, such as the popular Cleopatra slots. It’s not just the legend that Keno game makers were looking to capture here, although there’s no doubt that many find Cleopatra’s famed allure quite appealing.

Earn money playing games on iphone. Cleopatra Keno’s beauty is more than just skin deep, as this variety of Keno, like all Keno game variations, offers a twist to it, and an interesting one at that. Should the final number drawn contributes to a win for you, you not only win 12 free games, but the payouts at these free games are doubled.

Free Cleopatra Keno

Does This Mean We Should Pick More Numbers?

Cleopatra Keno As we have repeatedly mentioned, generous payouts in keno are not something out of the ordinary, and Cleopatra keno comes to prove that statement. In brief, it is a keno variation gaining more and more popular among online casino players. What makes it different from the other keno variations? Play Cleopatra online for free as it’s accessible on a thousands of online casinos and mobile platforms. The game also has built-in mechanisms for free spins. To win 15 bonus spins, the scatter symbol must appear 3, 4, or 5 times in any position on the reels. This is a fixed level of 15 spins regardless of the number that appear. As a rule, the simplest games are the card games and slots. Games like roulette and craps seem complex although they too are simple. Blackjack and baccarat are simple drawing games that even novices can play well Cleopatra Keno Non Deposit Bonus Casino in a very short space of time. How To Win At Cleopatra Keno - Our Online Casino Experts Have All the Insider Info You Need Local UK Payments SlottyWay Casino Games. BOOK APPOINTMENT = Call Us Now on 1300 788 491.

The first thing that comes to mind when considering playing Cleopatra Keno is the fact that picking more numbers gives one a better opportunity to win more bonuses, the free games and the extra payouts.

This is true, but game designers don’t want to make it this easy for you, or else it wouldn’t even make sense to pick less than 10 numbers. It actually may not make sense, but not for this reason.

The way the payouts are set up, it actually turns out that it doesn’t matter how many numbers you pick, from one to ten, as the pay tables are constructed to provide a similar edge to the casino regardless.

So the house edge with Cleopatra Keno is about 10%, which tends to be more than you see with slots or video poker, but certainly better than you would see in traditional Keno drawings, the brick and mortar kind. If you are looking for keno with better odds you can check our Top 7 Keno games list.

More Bonuses Can Be More Fun Though

If you like bonuses and free games, you can’t hurt yourself odds wise by selecting more numbers with your Keno games, but you can certainly increase your fun by picking more, and even going with 10.

So the payouts may be distributed in such a way that it doesn’t really matter as far as your returns go, but more numbers picked means more catches and more prizes in Keno generally, and when you throw in more bonus games with Cleopatra Keno, then this can be a great way to go indeed.

When you add in the fact that video Keno is simply more fun overall, with all the Keno you could ever possibly imagine playing just sitting there waiting for you, rather than the other way around, it’s no wonder why Cleopatra Keno is such a hit.

Thread Rating: Real ways to make extra money.

Wizard
Administrator
Somebody asked me about the variance of Cleopatra Keno. I had to dust off my college statistics books to help me with that one. As a reminder, it plays like conventional spot keno, except if the last ball drawn contributes to a win, the player gets 12 free games with a 2x multiplier. Free games do not earn more free games. Let's use the 3-10-56-180-1000 pick-8 pay table as an example.
To begin, recall var(x + y) = var(x) + var(y) + 2*cov(x,y)
In this case of this game, var(entire game) = var(base game) + var(bonus) + 2*cov(base game,bonus)
Let's start with the variance of the base game.

Catch	Pays	Winning combinations	Probability	Return	exp win^2
0	0	2,558,620,845	0.088266	0.000000	0.000000
1	0	7,724,138,400	0.266464	0.000000	0.000000
2	0	9,512,133,400	0.328146	0.000000	0.000000
3	0	6,226,123,680	0.214786	0.000000	0.000000
4	3	2,362,591,575	0.081504	0.244511	0.733533
5	10	530,546,880	0.018303	0.183026	1.830259
6	56	68,605,200	0.002367	0.132536	7.422014
7	180	4,651,200	0.000160	0.028882	5.198747
8	1000	125,970	0.000004	0.004346	4.345661
Total	28,987,537,150	1.000000	0.593301	19.530214

As a reminder, the variance equals exp(x^2) - (e(x))^2.

Free Keno Games Cleopatra

So, var(base game) = 19.530214 - 0.593301^2 = 19.178208.
Next, let's do the variance of the bonus, given that the player won the bonus in the first place. Recall var(ax) = a^2 * var(x). In the bonus there are 12 doubled free games. So the variance of a bonus would be..
12 * 2^2 * 19.178208 = 920.554000.
However, the player doesn't always win the bonus. This was a tricky step. It would have been nice to just multiply that by the probability of winning the bonus of 0.021644, but you can't.
Let's do the easy part first. The average bonus win is 12*2*0.593301 = 14.239212. The expected win from the bonus on any given spin is prob(bonus)*(average bonus) = 0.021644 * 14.23921236 = 0.308198. Not that we directly care, but the overall return of the game is exp(base game) + exp(bonus) = 0.593301 + 0.308198 = 0.901498.
To find the exp(x^2) of the bonus, recall variance = exp(x^2) - (e(x))^2.
To rearrange:
exp(x^2) = var(x) + (e(x))^2.
In the case of the bonus, given a bonus win in the first place:
exp(x^2) = 920.554000 + 14.239212^2 = 1123.309169.
Now we're ready to find the overall variance from the bonus (including when the player doesn't win it):
We already know exp(bonus win) = 0.308198.
exp((bonus win)^2) = 0.021644 * 1123.309169 = 24.313239.
Thus the variance of the bonus on each spin is 24.313239 - 0.308198^2 = 24.218253.
Next, let's do the covariance. Why is there any covariance, you might ask? It's because the player has to hit a winning ball on the last draw to trigger the bonus. Given the fact that the last ball won makes it more likely the player won money in the base game on that spin. In other words, winning the bonus is correlated to winning something on the base spin.
We'll need to know the expected win in the base game, given that the bonus was won. Here is that table:

Catch	Pays	Winning combinations	Probability	Return
0	0	-	0.000000	0.000000
1	0	-	0.000000	0.000000
2	0	-	0.000000	0.000000
3	0	-	0.000000	0.000000
4	3	472,518,315	0.753119	2.259358
5	10	132,636,720	0.211402	2.114019
6	56	20,581,560	0.032804	1.837010
7	180	1,627,920	0.002595	0.467036
8	1000	50,388	0.000080	0.080310
Total	627,414,903	1.000000	6.757734

From our college statistics class, we know cov(x,y) = exp(xy) - exp(x)*exp(y).
Exp(xy) = 0.021644 * 6.757734 * 14.239212 = 2.082719.
So, the overall covariance is 2.082719 - 0.593301 * 0.308198 = 1.899865.
Thus, our bottom line is:

Play Cleopatra Keno For Free

var(base game) + var(bonus) + 2*cov(base game,bonus) = 19.178208 + 24.218253 - 2*1.899865 = 47.19619.
Here is a summary of the key numbers.

Exp base win	0.593301
Exp bonus	0.308198
Return of game	0.901498
Average base win given bonus won	6.757734
Average bonus	14.239212
Prob bonus	0.021644
Variance base win	19.178208
Variance bonus, given bonus	920.554000
win^2 in bonus	1123.309169
Variance bonus	24.218253
covariance	1.899865
total variance	47.196191

I hope the one who asked me (I'm not sure if I can state his name) is happy, this took hours, including running a simulation to confirm the answer.As usual, a post that took me hours to write gets no replies.ck1313

Cleopatra Keno For Computer

As usual, a post that took me hours to write gets no replies.

Come on Mike, it's only been 3 hours since you posted it. :P
And well done! I haven't done much work with covariance. I took college statistics, but I definitely didn't learn covariance well and definitely hadn't seen it applied to a gaming example with careful detail. This is a fairly difficult calculation for most adults to do, and I think you guided the reader very well. So if even the person who asked didn't learn anything, at least I did!
Also writing any post on here that uses a table is a royal PITA and will take forever to write unless you have a nice script to add rows and columns.Thanks guys for the replies, although I'm sure they were sympathetic. To be honest, it was good for me to review those formulas and I'll get mileage from it as a future 'ask the wizard' question.Gialmere

As usual, a post that took me hours to write gets no replies.

Sorry. I hang out at a website that taught me Keno was for suckers so I tend not to read articles about the game.djatcmiplet

Cleopatra Keno Online Casinos Real Money

Also writing any post on here that uses a table is a royal PITA and will take forever to write unless you have a nice script to add rows and columns.

I've been using http://miplet.net/table/ for a long time. Just copy and paste from a spreadsheet.