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Scientific Games expands supply deal with Massachusetts Lottery
Scientific Games (SG) has signed a new, five-year contract to provide the Massachusetts State Lottery Commission (MSLC) with instant games, second chance promotions and digital engagement programs.
The new contract, which may be extended by up to two years by MLSC, is expanded to include consumer digital services to engage players through second-chance game features.
SG currently supplies 96% of the Massachusetts Lottery’s instant games, and in the fiscal ended June 30 2020, its products generated $3bn of the operator’s total $3.6bn in instant game retail sales.
Since the start of fiscal year 2021, which began on July 1, the supplier has helped the operator grow instant game sales by 11.3%, or $99.7m.
SG produced Massachusetts Lottery’s first instant game in 1974, meaning the new contract will see the supplier extend its relationship with the lottery beyond the fifty-year mark.
“The combined expertise of the Mass Lottery team and the teams at Scientific Games has resulted in great instant game entertainment that has generated strong revenues to benefit programs in the Commonwealth,” said Ed Farley, chief marketing officer for MSLC.
“We look forward to continuing this partnership and working to expand player digital engagement.”
John Schulz, SG’s senior VP, lottery instant products, added: “It goes without saying that the Mass Lottery has been the highest performing instant game lottery in the world for many years and continues to set the bar for lotteries around the globe. We are extremely proud of the results of this trusted business partnership over the past four decades.”
“Our second chance and digital services are second to none, and we look forward to further expanding Scientific Games’ services to player engagement in online/mobile channels in Massachusetts.”
Results published earlier this month showed that growth in the supplier’s igaming and lottery divisions was offset by gaming declines in the third quarter of 2020, as revenue for the three months ending 30 September fell by 18.4% to $698m.
The year-on-year decline was caused by difficulties faced in its land-based content business, SG Gaming, for which revenue declined 49.1% to $231m as the industry continues to grapple with novel coronavirus (Covid-19) restrictions.
In the Singapore game of TOTO, 6 numbers plus one “additional” number are drawn at random from the numbers 1 to 49. In the Ordinary game, players spend $1 and they choose 6 numbers in the hope of becoming instant millionaires.
A prize pool is established at 54% of sales for a draw. Typically, $2.8 million dollars is “invested” in each game – and games are offered twice per week. This is quite a lot for a country of 5.5 million people…
Plenty of other countries have similar Toto games, usually called Lotto. The more numbers in a game, the worse your chances become.
Summary of the Prizes (Singapore Toto)
|Grp||Prize Amount||Winning Numbers Matched|
|1||38% of prize pool (min $1 M)||6 numbers|
|2||8% of prize pool||5 numbers + additional number|
We chose `3` of the `6` winning numbers and chose `3` numbers from the `43` remaining numbers that did not win. Again, we need to consider the probability of the additional number not being one of our `3` remaining (non-winning) numbers. This probability is `1 − 3/43 = 40/43`. So we multiply by `40/43`.
So there is 1 chance in 61 of getting the Group 7 prize.
A reader wrote in to ask:
We can re-write the fraction as: `(185,115)/(13,983,816)xx3/43 = (12,915)/(13,983,816)`.
So actually there are 12,915 Group 6 winning combinations (the numerator of the final fraction), not 812 (which was obtained by cancelling).
For example, in the 19 Mar 2007 draw, the Winning Numbers were:
2 15 16 19 25 32
The Additional Number was 37
I won’t list out all 12,915 combinations :-), but I will show how to get started.
Choosing 3 of the 6 winning numbers:
2 15 16 2 15 19 2 15 25 2 15 32
There are 20 such combinations: `C(6,3)`
Now with each of these, we would have chosen 3 non-winning numbers, and there are C(43,3) = 12,341 such combinations for each of the 20 winning triples. For example, with the first 3 winning numbers, the non-winning combinations could include:
2 15 16 1 3 4 2 15 16 1 3 5 2 15 16 1 3 6 2 15 16 1 3 7 2 15 16 1 3 8 etc
There are `C(6,3) × C(43,3) = 246,820` such combinations.
Only some of those (3 in every 43 of them, in fact) will include the additional number 37, eg
2 15 16 1 3 37 2 15 16 1 37 38 2 15 16 37 38 39 etc
Other possible Group 6 combinations, using other winning numbers, are:
15 16 19 37 38 39 19 25 32 37 38 39 etc
There are `C(6,3) × C(43,3) × 3/43 = 17,220` of these.-2) = 1\ “in”\ 53.6`.
In most Lotto and Toto games, you can buy a “System”. Your chances of winning increase, but of course, you pay more as well. For example:
System 7 means you choose 7 numbers (instead of the usual 6). This gives you 7 times the chance of winning (so it costs 7 times as much), since it is equivalent to buying 7 different 6-number games, or C(7,6). Say you chose 1, 3, 5, 7, 9, 11, 13 as your 7 numbers. You have the following 7 ways of winning if the 6 winning numbers happened to be:
System 8 means you choose 8 numbers and it gives you the equivalent of 28 ordinary bet combinations, so costs 28 times as much, or `C(8,6)`.
Similarly, System 9 gives you `C(9,6) = 84` ordinary bet combinations, System 10 gives `C(10,6) = 210` ordinary combinations, System 11 gives `C(11,6) = 462` combinations and System 12 (the maximum in the Singapore game) gives `C(12,6) = 924` combinations.
The probability of winning with a System 12 is `924` times the probability of winning when you buy 1 game, that is:
`924/(13,983,816)` or `1` in `15,134`.
Reader David wrote in to ask about the probability of winning a Group 6 prize when you buy a System 12. He asked what happens when the probability appears to be greater than 1.
What he means is this: For a Group 6 prize, the probability is 1 in 812, so (it appears) a System 12 will give you 924 chances in 812 or 1.138 chances – greater than 1! However, this refers to the high chance in relation to your 12 chosen numbers – not to the total 49 possible numbers.
It just means you can be “almost certain” to get a Group 6 prize when you buy a System 12.
In fact, you would expect to win `924/321 = 2.88` (almost 3) prizes of some sort.
If you win a Group 6 prize with a System 12, you actually get 28 Group 6 shares (28 × $25 = $700) and because you have 3 correct numbers as well, you get
Don’t believe anyone who says any strategy is a “sure thing”. The only sure thing is the “house” (or in many cases, the government) are the real winners.
Which are the “Best” Toto Numbers?
Of course, there are no “best” numbers, but it’s interesting to see which ones occur most frequently.
Toto number frequency
Singapore Toto number frequency
The number with highest frequency (40, at 101 times) has come out 1.8 times as often as the lowest frequency number (45, at 57 times).
The data for the above chart comes from the Toto number frequency chart (at Singapore Pools site.)
An Interesting Problem…
On Monday 11 June 2001, the winning numbers for Singapore Toto were 1,10,19,23,29,45 with additional number 34.
The next consecutive draw on Thursday 14 June 2001 had five of the same numbers from the Monday draw. The winning numbers for this draw were 1,10,14,19,23,34 with additional number 33.
Thus the numbers 1,10,19,23,34 were repeated.
This is very rare and quite amazing. What is the probability of this occurring?
Let us start with a similar but simpler game. Say we have 9 numbers (1,2,3,4,5,6,7,8,9) and we draw 4 numbers each time. Four numbers have been drawn (say 1,2,3,4) We want to find the probability that two of these four numbers come out again in the next draw.
We divide the numbers into 2 groups:
Category A: 1,2,3,4 (four numbers came out in the first draw)
Category B: 5,6,7,8,9 (five remaining numbers)
Suppose 1 and 2 repeat:
There are C(5,2) = 10 numbers in this group. We choose 2 from the 5 numbers from Category B.
Similarly there is another group in which 1,3 repeat, and another where 1,4 repeat, then 2,3 repeat etc.
Altogether there are C(4,2) = 6 groups (4 is the number of numbers in group A and 2 of them are drawn).
So the probability of the 2 numbers repeating in 2 different draws is:
The TOTO case is similar: In each game, we draw 7 numbers (6 plus one additional) from a pool of 45. We want to find the probability of having 5 numbers repeating.
There are 7 numbers in Category A and 38 numbers in Category B.
The number of ways to have the first five numbers repeating:
We choose 2 from 38 numbers in group B: C(38,2) = 703.
There are C(7,5) = 21 groups, and there are 7 numbers in group A and 5 of them are drawn.
The denominator is C(45,7) = 45 379 620.
The probability is
`(703xx21)/(45\ 379\ 620)=(4\ 921)/(15\ 126\ 540)`
`=3.-6` or `1` in `170\ 600`.
Also the probability of having all the same 7 numbers coming out again is `1/(45\ 379\ 620)`.
The answer for the probability of having AT LEAST 5 repeating numbers in the next draw is
`(14\ 763)/(45\ 379\ 620)` `+(266)/(45\ 379\ 620)` `+1/(45\ 379\ 620)`
or 1 in 3019.2.
BBi – Maryland Lottery SG
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90,000 Scientific Games hits the jackpot with Washington Lottery
Washington Lottery renews Scientific Games contract
Scientific Games Corporation (SG) announced that Washington Lottery has renewed the company’s contracts for instant games, licensed brands and services. SG, the world’s dominant provider of instant games, will continue to develop and deploy instant lottery games.
The agreement is for four years and will last until March 2024. In addition, the company will also supply the Washington Lottery with a new mobile app and player loyalty program.
Scientific Games will provide Washington Lottery with an innovative mobile app.
SG is renowned in the industry for making headlines with a number of important changes. Just this week, the company reshaped its sports betting portfolio with a dynamic team in Gibraltar.
SG has been providing instant play lottery since its inception in 1982. The company currently serves as the main provider of instant games including Lucky for Life and licensed games such as SLINGO and LOTERIA.
Gailin Gray of the Washington Lottery commented, “Our team has worked hard with Scientific Games to responsibly grow year after year in our instant gaming products, which in turn generated more revenue to support education and other government programs in Washington.”
Gray continued, “We look forward to working with Scientific Games for another four years to bring new experiences to our players with the new mobile app, as well as increase their loyalty with entertainment promotions and additional features.”
John Schultz of Scientific Games commented, “It was a great pleasure to serve this outstanding lottery in the Northwest USA.”
Schultz concluded, “We are honored to renew our Instant Play contract so that we can continue to work together to maximize profits for education and other important programs in communities throughout the great state of Washington.”
With a total of nine instant game presses in five manufacturing plants on four continents, SG provides games, technology and services to more than 150 lotteries around the world.The company launched the world’s first secure instant lottery game in 1974.
SG is a global leader in technology-based gaming systems, board games, tabletop products and instant gaming, as well as a market leader in gaming, lottery and interactive gaming products, services and content. SG offers a fully integrated portfolio of technology platforms, robust systems, engaging content and professional services.
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ENDRESS ESE 506 SG-GT ES Duplex
Shubin Igor, 19.10.2014
The reliability of this generator is zero, well, or maybe someone is lucky.In my opinion, the manufacturer is openly lying about them in writing: the advertisement says: “voltage accuracy is 1%”. In fact, the sellers sent me the answer of one German from Endress to my question about how an accuracy of 1% is achieved when, according to the circuit in the instructions, instead of an AVR, a simple capacitor is installed in it. The German wrote that the accuracy would actually be no better than 5%.
I refused to replace it with a similar one or to re-purchase Endress ESE 506 Duplex.
Yes, it takes about 30 minutes to remove the front control panel to connect the battery terminals.In my opinion, this is a big mistake of Endress engineers. Very uncomfortable.
Win-Win Lottery / / Nezavisimaya Gazeta
Clouds are not a mirage, but a mirage is always a cloud.
Mark Kharitonov. Cloud Catcher: Stories. – M .: Vremya, 2008 .– 384 p. (It’s about time!)
Mark Kharitonov – the first winner of the 1992 Booker Prize, today published a new collection of stories “The Cloud Catcher”.Good name, good style. In this book, “everything was connected for a moment: painful, like happiness, pain, warmth, tenderness, unconsciousness and memory, thoughts, fears and groans, the mixed rubbish of an irreversible life, sheets of paper folded for flight, thrown out of the window, covered with signs indistinguishable from here , words that were born once, and those that are being born again now ”(“ Doves and Swifts ”).
What else? Elusive clouds and white birds. Where they come from in the visions of Kharitonov’s heroes, the devil will understand.But one thing is clear: they do not seem to be in vain – the characters “trust in a mirage, just as they trust in unreliable poetry,” because without it, “maybe life cannot be sustained at all.” So they cling to their dreams. Because “in the depths of our souls, almost any of us still settles: you never know what? After all, we really do not know everything in the universe, we cannot consciously perceive with our limited senses some secret interconnections, influences, in modern terms, energies “(” Pushkin’s Spirit “).
There is something shaky in the story itself.Of course, Kharitonov is a master. But often he writes almost on the verge, it seems, one more step – and he stumbles, ruins the story. There is a lot of ambiguous, controversial in the language: the spine, like a bamboo, “senses”, “a dazzling sun emerged from under the clouds.” On the one hand, it seems to be nothing, but on the other, it sounds unpleasant to the ear. Sometimes Kharitonov resembles his own character from the story “The Cloud Catcher”, which gave the name to the entire book. Innokenty is a novice artist, “he was able to draw anything from memory himself, then he tried more and more to reproduce what he dreamed of – clearly, as it happens in reality.These were attempts to capture the moment. ” So Kharitonov writes not so much about ordinary people as about the significance of the moment in their lives. So, the tipsy Babich, the character of “The Seventh Heaven”, got into a conversation on the train with a “charlatan”, a “lottery man”. He declares to him: “And life, if you want to know, does not happen without a lottery.” And go and figure it out, is it true or the merchant is just trying to push his “win-win” tickets. Death in this story occurs unexpectedly, although the author is intriguing from the very beginning. Babich reads a detective story, then talks to a strange lottery man, agrees to play.And then, as if happily avoiding something terrible, incomprehensible. “No, I’ll still live,” he mutters barely audibly and hurries away. At the same time, Kharitonov’s prose contains a lot of space and simplicity. Stories are read almost in one breath.
But sometimes it seems that the writer is not interested in people at all. Rather, he is worried about their visions. For example, Yakov Lvovich, an old man out of his mind, lies in a cold hospital bed, whispering his own words: “All definitions are not about that. In intelligence there is something of a religious attitude.Out of denomination. A free-thinking person simply feels: there is a demand. Something above you. You can’t afford everything. Not entitled”. And he sees incomprehensible white birds. Meanwhile, the doctors have already written off him, only Inga Lazarevna, a former work colleague, still comes.
Perhaps, it is true, our life is only an appearance (this is, if you will, a kind of Khariton’s greetings to Plato). And all that we have is a moment, it, like a grain of sand between the pages, does not mean anything and at the same time is something integral and important in its own way.It’s good to just smoke by the open window or look at “a milky dawn fog, a panorama cut out of rows of cardboard: below is a common whiteness for everyone, but the closer to the tops of trees, roofs, bell towers, the more each individual plan became darker, filled with dense outlines.” (“Grain of sand between the pages”), looking at the clouds, talking to yourself …
There are literary allusions in Kharitonov’s texts. In the story “Session” one interlocutor to another: “You think, I can confirm this, try to draw a conclusion” or “How good, how fresh the roses were” – deliberately put into the title of the story.
But for all its ambiguity, the book is not badly written. Ordinary life is seen by Kharitonov’s characters, if not a miracle, then something wonderful. In any case, they want to be until their last breath. Isn’t this the whole Russian person? He lives, is in a hurry, and everything is not enough for him. And then, closer to the finale, he is horrified and angry, like a character in “Playing with oneself”: “Lord! Can I go through this again? ” But here, how lucky is it, it does not depend on us.
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