keno in massachusetts

961 Mass. Reg. 2.58

Consecutive Draws. The number of successive KENO draws (i.e. 2, 3, 4, 5, 10, 20) for which a player may make a selection on a single KENO ticket.

KENO or Keno. An on-line Lottery game in which a player selects from one to twelve numbers from a field of 80 numbers. The Lottery randomly selects 20 numbers from the same field of 80 numbers. Depending on the quantity of numbers matched and validation of the ticket, the player may win a prize.

Quic Pic. A function that allows an on-line terminal to automatically and randomly select KENO numbers for a player.

Replacement Ticket. The ticket issued to replace a consecutive draw ticket that is validated prior to the last game on the ticket.

Spots. The quantity of numbers (from one to twelve) a player may play per game.

Winning Numbers. The 20 numbers between one and 80 randomly selected from each drawing.

(1) Valid Bet. Except as otherwise provided herein, a valid bet on KENO using the On-Line System shall be a bet which is: (a) Placed with and accepted by a Sales Agent licensed to sell KENO or by a Lottery Facility specifically designated for the purpose. (b) Paid for in full at the time the bet is placed. (c) Recorded correctly on a computer generated ticket in accordance with 961 CMR 2.58. (d) Represented by a ticket generated by a Lottery computer terminal. The ticket must contain the following information: 1. The number of spots; 2. The amount wagered per draw; 3. The numbers selected; 4. The date of sale; 5. The number of draws played; 6. The specific game number(s) for which the bet is eligible; 7. The price of the ticket; 8. A terminal identification number; 9. An 18-digit ticket serial number; 10. A machine readable (Bar Code) ticket serial number; 11. A verifiable numeric representation of the information contained on the ticket consistent with the information contained in the Lottery’s computer records. (e) Accepted by the Lottery Computer prior to the drawing of the winning numbers for the drawing(s) shown on the ticket. (f) In the event of a contradiction between information as printed on the ticket and as accepted by the Lottery Computer, the bet accepted by the Lottery Computer shall be the valid bet. (2) Placing Bets. (a) Bets may be placed by the bettor orally instructing the Lottery sales agent of his/her number selections and the sales agent then registering the bet via the terminal keyboard, or by using the “quic pic” feature by which the on-line computer system randomly selects the numbers, or by preparing a betting slip which is then entered into the terminal. Betting slips shall be prepared as follows: 1. Select the desired quantity of numbers (spots) from one to 12. 2. Select the desired amount to be wagered for each game. 3. Select the number of games. 4. Select the specific number selection or mark the “quic pic” box and the Lottery will randomly select the numbers. 5. Only official bet slips issued by the Lottery and hand marked by the bettor(s) may be used to place bets. The use of mechanical, electronic, computer generated or any other method of marking betting slips is prohibited. 6. Bet slips shall have no pecuniary or prize value, or constitute evidence of purchase or number selections. (b) The terminal must generate a ticket as described in 961 CMR 2.58(1)(d) which is given to the bettor as his/her receipt. (c) A single drawing bet may be canceled on the day it is placed prior to the selection of the winning numbers for the game for which the bet is eligible. A consecutive drawing bet may be canceled on the day it is placed prior to the selection of the winning numbers for the first game for which the bet is eligible. Consecutive drawing bets cannot be canceled after the first game for which the bet is eligible takes place. (d) A bet must be canceled at the on-line terminal in which the bet was placed. Bettors shall be entitled to a full refund of their bet upon cancellation and in no event shall a canceled ticket be entitled to a prize. (e) Bets may be placed with any Sales Agent authorized to accept KENO bets or at any Lottery operated facility accepting Keno bets. (f) Bets may be placed at any time during the day at such time or times as determined by the Director, but all bets must be placed and accepted by the Lottery computer prior to the drawing on the winning numbers for the specific drawings shown on the ticket. (g) The bet as represented by the ticket produced by the computer terminal is the only bet on which a prize may be claimed. Bettors are cautioned to examine their bet ticket at the time it is issued and prior to the drawing of the winning numbers in order to ensure that the ticket accurately represents the correct number selections, date of bet, amount wagered, and the drawings for which it is eligible. (h) In the event that the Sales Agent or computer terminal errs when the bet is placed, it shall be the responsibility of the bettor to determine that an error has been made and to request a new ticket be issued by the Sales Agent (provided betting for that drawing has not closed) or return of the purchase prize. (i) The Lottery shall not be liable for the payment of a prize in the event the bet is canceled intentionally or through inadvertence of the Sales Agent. (j) It shall be the responsibility of the person who collects the prize to make certain that he/she is receiving the correct sum of prize money. The Lottery shall not be liable for any underpayment except that the Director in his/her discretion may direct that an additional prize payment is made in order to correct an obvious mistake. (3) Betting Tickets. (a) The betting ticket is a bearer instrument unless signed by the owner and a prize may be claimed by anyone in possession of an unsigned winning ticket. (b) Keno Sales Agents may pay claims up to and including the sum of $600.00. Any claim of more than $600.00 shall be made on a claim form supplied by the Lottery at all Sales Agent locations. The procedure to be followed for claims of more than $600.00 and the rules and regulations governing each procedure shall be pursuant to 961 CMR 2.38 . (c) No more than one prize shall be paid on each bet placed. (4) Lost, Mislaid or Stolen KENO Game Ticket. The Lottery Commission may pay a prize to the holder of a KENO game ticket and the payment of such prize shall absolve the Commission of any further liability with respect to such ticket. In determining whether a prize has been paid on a KENO game ticket, the Commission may rely solely upon its computer records in determining whether or not a particular prize has been paid and the status as determined by the Lottery’s computer shall be binding on the holder. In the event of a lost, stolen, or mislaid ticket, the Director may order an investigation, and if he/she is satisfied that the claimant in fact is the owner of the lost, stolen, or mislaid ticket and it has not otherwise been paid, he/she may in his/her discretion pay the prize to the claimant thereof. All payments of prizes on lost, stolen or mislaid tickets shall not be made for a period of 90 days in the case of a prize of $200.00 or less and shall not be made for one year if the prize exceeds $200.00 unless the Director in his/her discretion shall decide otherwise. (5) Sales Agents. Sales Agents are required to pay to the Lottery all sums due on the date established for payment. Failure to make payment when due or upon notice from the custodial bank that funds are not available will result in the immediate shut down of the Sales Agent’s terminal and the Sales Agent’s license to sell the KENO Game and/or any other Lottery game shall be subject to revocation, suspension or non-renewal pursuant to the provisions of 961 CMR 2.13 . (6) Prizes. (a) All prizes will be paid in full, (less required tax withholdings), at the time the claim is made and after the ticket is properly validated. (b) All prizes will be a fixed amount (subject to restrictions) and set by the Director by Administrative Bulletin. (7) Multiplier Feature. The Massachusetts State Lottery Commission may offer a multiplier feature, which may be known by an associated trade name, for the Keno Game. This is a feature by which a bettor, for an additional wager, may increase the prize amount for certain prize levels by a factor depending upon a multiplier number that is drawn prior to the Keno drawing. Rules regarding the multiplier feature shall be set by the Director in an Administrative Bulletin governing the game. (8) Miscellaneous. All other provision of Lottery Rules and Regulations 961 CMR shall, if applicable, apply to the On-Line Number Selection Game — KENO. (9) In accordance w ith M.G.L. c. 10, §27, the 961 CMR 2.58(9)(a) through (c) shall apply in determining whether a municipality should be exempt from the exclusion of Keno growth revenue as defined by M.G.L. c. 10, § 27A. (a) Application Process. A municipality which is ineligible to receive Keno growth revenue may apply for an exemption by submitting a letter requesting a public hearing before the Lottery Commission and detailing the specific reasons it believes the Commission should consider said application. (b) Hearing Process. There shall be a two step public hearing process. 1. Informal. An informal hearing shall be conducted by the Chairman of the Lottery Commission or his or her designee. The decision of the Chairman must be approved by a majority vote of the Commission. If a municipality is aggrieved by the decision it shall have the right to an appeal in accordance with 961 CMR 2.58(9)(b)2. The notice of appeal shall be in writing and made within 30 days of receiving the Chairman’s decision. 2. Formal. A formal hearing shall be conducted by the Chairman of the Lottery Commission or his or her designee. Said hearing will be held in accordance with the provisions of M.G.L. c. 30A. The decision of the Chairman must be approved by a majority vote of the Commission. If a municipality is aggrieved by the decision it shall have the right to appeal in accordance with the provisions of M.G.L. c. 30A. (c) Criteria. In considering an application for an exemption from the exclusion of Keno growth revenue, the hearing officer shall consider the following: 1. The absence of petitioners in the municipality seeking Keno licenses and the reasons therefor. 2. The closure of a business which is a municipality’s sole Keno licensee. 3. The voluntary termination and surrender of a Keno license by a municipality’s sole Keno licensee. 4. The suspension or revocation and subsequent surrender, for just cause, of a license of a municipality’s sole Keno licensee. 5. The denial of an application of a Keno license by the chairman or his or her designee when such applicant is the sole potential licensee in a municipality. 6. The population of the municipality. 7. Any bylaw or ordinance adopted by a municipality prohibiting the operation of Keno. 8. Any other reasons which the Chairman or his or her designee may deem appropriate.

Amended by Mass Register Issue 1350, eff. 10/20/2017.

Read Section 2.58 – On-Line Number Selection Game – KENO, 961 Mass. Reg. 2.58, see flags on bad law, and search Casetext’s comprehensive legal database

Keno Strategies


After you read about our keno system, you’ll never look at the keno the same way again!

Let me ask you a question. Which bet would you rather do?

-Guessing six keno numbers between 1 and 80?
-Guessing six keno numbers between 1 and 10?

Incredible as it seems, most WINNING KENO/LOTTERY NUMBER PICKS can be mathematically represented as numbers between 1 and 10!


It’s actually very simple. The idea occurred to me when I thought about how a computer software program would store a winning lotto, winning keno or winning lottery number on disk. Storage space is always an issue with computers, so data compression is used whenever possible. To compress a lotto number pick, the software might store the “delta” of each number instead of the lotto number itself.

What’s a delta? The delta is the difference between a number and the previous number.
For example, look at this winning lotto number:
Now here is the same number, represented as deltas:

All the numbers are smaller, yet still represents, and can be converted back into the same winning numbers in lottery! I created this number by subtracting each of the lotto numbers from the number right before it. The first number is still three because there is no number previous to three. For the second number, 9 – 3 = 6, third number, 18 – 9 = 9, fourth number, 19 – 18 = 1, fifth number, 27 – 19 = 8 , and sixth number, 33 – 27 = 6. To turn the delta numbers back into the original winning lotto number or keno number, we do a series of simple additions, always adding the result of the addition just done to the next number in the series: The first number is 3, second number, 3 + 6 = 9, third number, 9 + 9 = 18, fourth number, 18 + 1 = 19, fifth number,19 + 8 = 27, sixth number, 27 + 6 = 33.


It means that you can pick lotto numbers and keno numbers by guessing numbers between 1 and 10 instead of 1 and 80! Number deltas higher than 10 can occur, but 95% of the time they don’t!


It works because the smaller numbers represent the typical distribution of winning keno and lotto numbers. In other words, in a keno game, the numbers are usually (95%+) spaced 1-10 digits from each other. Since this spacing stays somewhat consistent from winning number to winning number, our scheme to represent them as smaller delta numbers works. By guessing deltas that follow our rules instead of guessing the keno or lotto numbers themselves, your guess will have the same number distribution characteristics as other winning numbers. Does this give you an advantage? Well, read on.


I studied the distribution of delta numbers in a year’s worth of winning keno numbers from Massachusetts State Lottery. When I did this, I discovered something exciting but at first, truly puzzling. Over long periods of time, numbers are randomly distributed, but in smaller increments there are bias towards hot numbers!

Hard to believe? Check out some of the raw data yourself below.

This chart shows the distribution of delta numbers in several months worth of Massachusetts KENO drawings:

Delta Occurrences Percentage Total Percentage
1 43058 24.94% 24.94%
2 32769 18.98% 43.93%
3 24863 14.40% 58.33%
4 18753 10.86% 69.20%
5 13892 8.05% 77.24%
6 10532 6.10% 83.35%
7 7755 4.49% 87.84%
8 5661 3.28% 91.12%
9 4206 2.44% 93.55%
10 3153 1.83% 95.38%
11 2246 1.30% 96.68%
12 1627 0.94% 97.62%
13 1152 0.67% 98.29%
14 890 0.52% 98.81%
15 644 0.37% 99.18%
16 437 0.25% 99.43%
17 278 0.16% 99.60%
18 211 0.12% 99.72%
19 159 0.09% 99.81%
20 87 0.05% 99.86%
21 67 0.04% 99.90%
22 52 0.03% 99.93%
23 33 0.02% 99.95%
24 21 0.01% 99.96%
25 14 0.01% 99.97%
26 7 0.00% 99.97%
27 12 0.01% 99.98%
28 4 0.00% 99.98%
29 3 0.00% 99.98%
30 2 0.00% 99.98%

The Percentages Don’t Lie

It turns out that nearly 70% of the time, a delta calculated from a winning number will be FOUR or less! 58% of the time, the delta will be THREE or less! In fact, a delta of ONE is the single most occurences, occurring almost 25% of the time. The predominance of the number ONE means that adjacent number pairing in winning keno numbers must be quite common (and it is quite common, just look at any series of winning keno numbers.)

I also found that the first number drawn will be lower than 10 – 95.3% of the time! So if we can find the first starting number from 1-9, and then use the percentages of delta between numbers, we can generate a higher percentage of possibilities than simply generating completely random numbers.

This means that most of the Delta numbers you will be guessing can be picked from an even smaller set of numbers! Why is that?

Well, there are valid statistical reasons this happens. When you consider that the sum of all the Deltas have to add up to the highest keno digit (80), it’s apparent that there isn’t room for many large deltas. But doesn’t explain the entire effect. The excess of small delta numbers, and especially the predominance of ONE, is not obvious in the keno numbers themselves, but the delta calculation reveals the pattern.

With this knowledge, we can look at any game and we should see 25% of the numbers one number apart. That means that out of 20 numbers drawn, approximately 5 numbers should be “runners” or 1 number apart. You can take this against any results set and see for yourself.

Here is an example:

Draw #1652971: 04-22-27-29-3033-34-35-37-39-41-43-51-57-63-72-73-76-78-80

In these results, there were 4 “runners: 29-30, 33-34, 34-35, 72-73

Using this knowledge, we can more easily select number combination possibilities.

Combination of Systems

No one system is perfect and you will not win all of the time. But when we combine this knowledge with two other techniques, the result is what you will find on my site.


Aside from the Hollywood portrayal of time travelers going to the future to collect winning lottery numbers, picking the correct combination for a winning ticket is generally accepted to be a matter of luck.

But I think I have found that there is a pattern or “color chart” in winning keno numbers. This theory or system supposed that not all combinations of numbers have the same probability, which suggests there could be an art to predicting the winning numbers.

This site uses probability theories to create a color template on every keno number to create combinations of numbers with a greater likelihood to win. If you are interested more in probability theories, see this article.


After studying what number appear in over a year’s worth of data, I found a very interesting pattern. I call them “hot” and “cold” numbers. While looking at this data, I found that the “hot numbers were appearing (on average) over 30% of the time, while the “cold” numbers were appearing (on average) less than 15% of the time. So, the probability theory is to play the hot numbers, while eliminating the “cold” numbers.

But the Cold numbers will still come up won’t they?

The answer is yes. However, if we play the percentages (probability), there is a much better chance of a “hot” number appearing than a “cold” one, so we increase our chances, by eliminating the non-probable numbers and playing the more probable ones.

So what are the hot numbers?

On the statisitics page you will find the hot and cold numbers listed by color. Red is “hot” and blue is “cold”. Try for yourself. Check the “hot” numbers on the next game and see how many come up. On average there are 30 “hot” numbers and 50 “cold” numbers. Obviously you would predict that more “cold” numbers would appear since there is more of them. Check the percentages. You will see the same thing I have found, that the “hot” numbers appear at a higher probability than the cold ones do.


Perhaps you have wondered how predictable machines like computers can generate randomness. In reality, most random numbers used in computer programs are pseudo-random, which means they are generated in a predictable fashion using a mathematical formula. This is fine for many purposes, but it may not be random in the way you expect if you’re used to dice rolls and lottery drawings.

Pseudo-Random Number Generators (PRNGs)

As the word “pseudo” suggests, pseudo-random numbers are not random in the way you might expect, at least not if you’re used to dice rolls or lottery tickets. Essentially, PRNGs are algorithms that use mathematical formulae or simply precalculated tables to produce sequences of numbers that appear random. A good example of a PRNG is the linear congruential method. A good deal of research has gone into pseudo-random number theory, and modern algorithms for generating pseudo-random numbers are so good that the numbers look exactly like they were really random.

The basic difference between PRNGs and TRNGs is easy to understand if you compare computer-generated random numbers to rolls of a die. Because PRNGs generate random numbers by using mathematical formulae or precalculated lists, using one corresponds to someone rolling a die many times and writing down the results. Whenever you ask for a die roll, you get the next on the list. Effectively, the numbers appear random, but they are really predetermined. TRNGs work by getting a computer to actually roll the die – or, more commonly, use some other physical phenomenon that is easier to connect to a computer than a die is.

PRNGs are efficient, meaning they can produce many numbers in a short time, and deterministic, meaning that a given sequence of numbers can be reproduced at a later date if the starting point in the sequence is known. Efficiency is a nice characteristic if your application needs many numbers, and determinism is handy if you need to replay the same sequence of numbers again at a later stage. PRNGs are typically also periodic, which means that the sequence will eventually repeat itself. While periodicity is hardly ever a desirable characteristic, modern PRNGs have a period that is so long that it can be ignored for most practical purposes.

These characteristics make PRNGs suitable for applications where many numbers are required and where it is useful that the same sequence can be replayed easily. Popular examples of such applications are simulation and modeling applications. PRNGs are not suitable for applications where it is important that the numbers are really unpredictable, such as data encryption and gambling.

True Random Number Generators (TRNGs)

In comparison with PRNGs, TRNGs extract randomness from physical phenomena and introduce it into a computer. You can imagine this as a die connected to a computer, but typically people use a physical phenomenon that is easier to connect to a computer than a die is. The physical phenomenon can be very simple, like the little variations in somebody’s mouse movements or in the amount of time between keystrokes. In practice, however, you have to be careful about which source you choose. For example, it can be tricky to use keystrokes in this fashion, because keystrokes are often buffered by the computer’s operating system, meaning that several keystrokes are collected before they are sent to the program waiting for them. To a program waiting for the keystrokes, it will seem as though the keys were pressed almost simultaneously, and there may not be a lot of randomness there after all.

However, there are many other ways to get true randomness into your computer. A really good physical phenomenon to use is a radioactive source. The points in time at which a radioactive source decays are completely unpredictable, and they can quite easily be detected and fed into a computer, avoiding any buffering mechanisms in the operating system. The HotBits service at Fourmilab in Switzerland is an excellent example of a random number generator that uses this technique. Another suitable physical phenomenon is atmospheric noise, which is quite easy to pick up with a normal radio. This is the approach used by RANDOM.ORG. You could also use background noise from an office or laboratory, but you’ll have to watch out for patterns. The fan from your computer might contribute to the background noise, and since the fan is a rotating device, chances are the noise it produces won’t be as random as atmospheric noise.

What We Use

We use a PRNG as we generate random numbers from a Windows Server. We randomly generate our numbers based upon both our Probability and Delta theories, but in the end, we still need to randomly select numbers as we cannot play every single number in our selections.

Massachusetts Keno data analysis website. ]]>