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You Can’t Do That!

I have played for more than ten years at Dotty’s, a chain of 15-machine (mostly) establishments located throughout Nevada. 

While the promotions at Dotty’s vary periodically, one constant has been their Jackpot Bonus promotion where 10% of all W2gs receive a 10% bonus. That is, if you hit a $4,000 jackpot, 10% of the time you’ll receive an extra $400 in cash.

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How Likely Is This?

I hit a $2 NSU Deuces Wild royal recently — from left to right Q♣ K♣ A♣ T♣ J♣. It’s not an unusual royal in any respect. It was a one card draw with the queen coming in as desired.

The next day, 22 clock hours later but only four hours of video poker play, I hit a $1 9/6 Jacks or Better royal in the exact same Q♣ K♣ A♣ T♣ J♣ order. This time I needed to draw both the queen and the ace to collect.

So, I asked myself the same question that I’ve received from others so many times: How rare is this? I suggest you come up with a number before we continue.

I’m omitting the fact that the two royals required a different number of cards to be drawn — although, frankly, if they had matched there too, I’d have included that into the mix. The tradition in these exercises is to add in any and everything you can to make your event more unique than a similar situation. If you can make your event be 1-in-2,000,000, that’s twice as good as being only a mere 1-in-1,000,000.

I’m omitting the fact that it was two royals in only four hours of play. Calling it two royals in four hours starts the clock when I hit the first royal. It was also two royals in 76 hours of play. But it was about a tenth of a royal cycle before I hit the second one and you have about a 1-in-11 chance of connecting on something in a tenth of a cycle.

And I’m limiting the discussion to single line games. For all who have been dealt four-to-the-royal on Triple Play through Hundred Play and connected on more than one royal, all those royals on the same deal were alike. It can happen drawing to three-of-fewer-to-the-royal as well, but that’s not so common.

The number I get is that there is a 1-in-480 chance that your next royal be in the same suit-and-rank order as the last one you got. One way to figure this out is you have a 1-in-4 chance to be the same suit. Once the suit is determined, you have a 1-in-5 chance (queen in this case) for the first card to be in the correct position. Then 1-in-4, 1-in-3, and 1-in-2 for the next three cards. Once those have been determined, the last card is predetermined. Multiplying all of those out, you get 1-in-480.

Which isn’t that rare. Even if I multiply it by 11 because the second one happened in one-tenth of a cycle. Frequently in video poker we can come up with shots that are more than 1-in-1,000,000. This doesn’t come close to that.

Over a lifetime, it figures that a lot of us will do this. I don’t know exactly how many single-line royal flushes I’ve had, but it’s probably 400-500 or so (and probably three times that many on multi-line machines) and there are only 480 different ways for a royal to be. It’s very possible I’ve done this previously and not realized it.

I don’t have photographs of most of my royals and even if I remember that I hit two diamond royals four days apart, I wouldn’t be sure of the order of the cards. It’s just not something that makes a big impression on me. 

But this time, since I happened to take pictures (Bonnie still gets a kick out of them and asked me why I sent the same picture twice), I saw them side-by-side and noticed they were the same order.

I created this article immediately after I hit the second royal described above. Nine days later I hit another single-line royal, also in clubs, with the cards in the same order — sort of. If you shift all of the cards two positions to the right (or three to the left), using some sort of wrap-around feature, the cards are in the same order.

I’m not going to attempt to figure out how likely this was for a next royal. It’s not an exact match, and there are a variety of different ways that an inexact match could be similar.

Still, I think it’s curious and interesting.

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Not My Thing

I was beginning my play at the South Point for their July “Spin 2 Win” promotion, playing, for variety, the 25¢ Good Times Pay version of NSU Deuces Wild. This is a Triple Play game where you get multipliers from 1x to 7x on each of the three lines (averaging exactly 2x). This uses the same strategy and has the same EV as regular NSU.  Although it is slower to play than the $2 single line version that I would play were I in more of in a hurry, in my opinion it is more enjoyable to play. At least sometimes.

Two machines over (the one between us was turned off for social distancing reasons) was an Ultimate X machine that goes up to 25¢ Triple Play. The 9/6 Double Double Bonus version of that game has basically the same return as NSU  and is much more difficult to play correctly, but is far more exciting. 

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Gambler’s Bonus Reminiscences – Part II of II

Last week I wrote about a juicy game that lasted for several years in 15-machine pubs in greater Las Vegas. If you read that article first, this one will make more sense.

Near the end of the time when this game was available, the manager of one of these pubs asked if I could meet him for lunch away from the pub. Sure. No problem. He had been to some of my classes and we were friendly.

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Gambler’s Bonus Reminiscences – Part I of II

For a five-year period ending about a decade ago, I played a lot at certain 15-machine pubs in the southeastern section of the Las Vegas valley. Places such as Village Pub, Raye’s, Doc Holliday’s, and Franklin’s. Most of these places have changed owners and names since then. All have removed the game I played. 

My game of choice was a version of Deuces Bonus in the Gambler’s Bonus system called Deuces Plus. Today, the best IGT version of this game pays 45-20-20 for straight flushes, quads, and full houses with a return of 99.45%. The version at the pubs paid 50-20-20 with the royal returning 1,000-for-1 rather than 800-for-1. This made it a 100.35% game. Plus slot club. Plus bonuses. And all these places had the game for ten-coin $5 — meaning $50 hand.

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Two Simple Applications of the Binomial Distribution

A month or so ago I answered the Question of the Day for the Las Vegas Advisor and I answered it in terms of the Binomial Distribution. There were some comments posted after that QOD indicating that people wanted to know more about it. This is a lightly edited version of a 2012 article that I published should be sufficient to respond to those questions.

I receive a lot of mail asking such questions as, “If I am dealt four cards to the royal flush (such as A♥ K♥ Q♥ T♥) and I am playing Fifty Play, how many royals will I usually end up getting?” or, “I played more than 200,000 hands of Jacks or Better and only received three royal flushes. How unlucky was this?”

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Two Sucker Bets

“S-U-R-P-R-I-S-E!” sixty people shouted as my wife Bonnie entered her sister’s house. Her 75th birthday party was off to a noisy beginning.

I sighed in relief. We had pulled it off. All the invitations and such had been sent out and responses received with Bonnie having no clue. I had ordered a cake from BabyCakes, the bakery within the M Resort, where I had a large number of comps.

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A Lesson from Daniel Negreanu

Masterclass.com is a marvelous collection of world authorities talking about what they know best. I am very impressed with their teachers.  I had heard about a 2-for-1 sale they were offering in early April, so I signed up. Usually it’s $180 per year for full access to thousands of hours of instruction, but the recent sale allowed two people to sign up for the same $180. The combination of the sale and lots of extra time due to the stay-at-home rules was enough to seal the deal for me. I sent an email out to a number of people I thought might be interested in partnering with me on this, and several responded with interest. The ones I couldn’t use, I hooked up with each other.

My primary interests are writing, comedy, and games of skill — and they have several courses in each of those categories. I’ll eventually get to classes further down my list of interests, but the courses on cooking and interior decorating will probably never make the cut for me. 

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A Look at 9-5 Triple Bonus Poker Plus — Part 2 of 3

Today I want to look at some of the interesting features of 9/5 TBPP at the intermediate level. If you’re not comfortable at this level, you probably should review last week’s column before you dig into this one.

I’m not going to print a strategy here. If you have Video Poker for Winners software, you can get a strategy there. If not, www.wizardofodds.com/games/video-poker/strategy/calculator/ provides an accurate strategy free of charge. I’m not crazy about the format of the WOO strategy, but when you start with free and accurate, it’s probably unfair to be too nitpicky. 

Continue reading A Look at 9-5 Triple Bonus Poker Plus — Part 2 of 3
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A Look at 9-5 Triple Bonus Poker Plus — Part 1 of 3

This game returns a robust 99.80% with perfect play, is found in a number of Las Vegas casinos, and for some reason I have neither taught nor written much about the game. That is about to change.

Today I’ll discuss the basics of the game. Next week I’ll talk about some Intermediate-Level peculiarities to the game. And in two weeks I’ll discuss some of the advanced penalty card situations.



1 coin

5 coins




Royal Flush250
4,000
Straight Flush100
500
Four Aces240
1,200
Four 2s thru 4s120
600
Four 5s thru Ks50
250
Full House9
45
Flush5 25
Straight4 20
Three of a Kind3
15
Two Pair1
5
Jacks or Better 1
5
Continue reading A Look at 9-5 Triple Bonus Poker Plus — Part 1 of 3