Which Massachusetts Lottery The Numbers Game numbers are drawn the most and the least in any arrangement of the digits? Which numbers are late?

# Massachusetts Lottery The Numbers Game Boxes Analysis

 Boxes, or any arrangement of the digits, of the Massachusetts Lottery The Numbers Game Game are analyzed here. Since certain boxes are more likely to be drawn than others, the first step in the analysis would be to group all the 10,000 The Numbers Game numbers are categories based on their pattern. Then the frequencies and last appearance of each group will be pressented. If you are not familiar with the Massachusetts  The Numbers Game Game, or any 4-digit lottery game in general, you may start with the section on description, play types, and how to Play 4-digit lottery games. Even if you are familiar with the game the section about grouping and odds of 4-digit numbers can be very informative. - Updated on :Monday, December 09, 2013 - Latest Number : 7544 - Number of Draws : 15046 On this page...

## Introduction to The Numbers Game Box Analysis

As mentioned in other pages of this web site, boxes are any arrangement of a given 4-digit game number, represented by an ascending order of the digits. For instance, the box 0011 represents all the six possible permutations of the four digits: 0011,1100,0101,1010,1001,0110.

In this section we shall analyze the Massachusetts   The Numbers Game boxes. The purpose of this analysis is to identify :

• the distribution in frequency of the five 4-digit box categories in the last 40, 100, 1000, and all (15046) draws,
• which The Numbers Game game numbers have not been drawn in any arrangement?
• which The Numbers Game boxes are the hottest (highest frequency) and which ones the coldest (low frequency)?
• which The Numbers Game numbers have not been drawn even as a box for a long time now?

The analysis is performed separately for the four groups of 4-digit numbers, namely, non-repeating boxes (or 24-way boxes), one-doubled boxes (or 12-way boxes), dual-double boxes (or 6-way boxes), and one-tripled boxes (or 4-way boxes). The reason for a separate analysis is simply because the probability of a number winning is the highest for non-repeating boxes followed by one-doubled, one-tripled, dual-double, and quadruples, in that order.

Note that the box representation of 7544, the latest Massachusetts   The Numbers Game number, is 4457.

You may also see the complete list of Massachusetts   The Numbers Game Boxes(Combos) for an alphanumeric ordered list.

## Frequency of Massachusetts  The Numbers Game Box Categories

The following table lists the frequencies of the four box groups, plus quadruples, in the last 40, 100, 1000, and all (15046) draws of the Massachusetts The Numbers Game game. Click on one of the tabs to see the actual and the expected number of times that each group is drawn. The bar graph in the last column will help you to visually identify if a The Numbers Game group is drawn more than or less than the expected value. Since these bars represent percentages of the analyzed draws, they will appear very close to each other at higher number of draws. For this reason, the frequencies are shown again at the end of the bars for more clarity.

 Last 40 Draws Last 100 Draws Last 1000 Draws ALL 15046 Draws
 Number of times drawn Theoretically expected Visual comparison Non-repeating 23 20 Actual:Expected: . 23. 20 One-Doubled 15 17 Actual:Expected: . 15. 17 Dual-Doubles 2 1 Actual:Expected: . 2. 1 One-Tripled 0 1 Actual:Expected: . 0. 1 Quadruples 0 0 Actual:Expected: . 0. 0

## Massachusetts   The Numbers Game Boxes Not Drawn

There are 6 Massachusetts Lottery The Numbers Game numbers that have not been drawn in any arrangement of the digits. They are:

0000, 0555, 6666, 7777, 8888, 9999

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## Massachusetts  The Numbers Game Frequency of Boxes (Combos) and How long is it since a Massachusetts  The Numbers Game Box was last drawn?

The data presented in two columns below allow you to identify the most and the least frequently drawn Massachusetts  The Numbers Game boxes as well as late boxes. The left column contains frequencies where the numbers are arranged by their corrsponding values, the first being the number with the lowest frequency. The column on the right contains how many draws have passed since a particular Massachusetts  The Numbers Game box was last drawn. The oldest The Numbers Game boxes are to be found at the top and the newest at the bottom of the list.

Note that BOXES THAT HAVE NOT BEEN DRAWN YET ARE NOT LISTED in the following tables.

Since Non-repeating numbers are drawn more frequently than Doubles, Dual-Doubles, and triples, the data are accordingly separated. Use the buttons below to toggle between the four. Initially the data for Non-Repeating-digits are shown.

Data for Non-repeating Boxes
 Frequencies of Non-repeating Boxes Box #............Times drawn 0245...............212379...............231246...............252349...............250569...............251789...............262479...............262389...............261249...............261356...............273567...............270345...............271256...............286789...............280348...............280136...............282489...............282789...............281578...............281359...............290689...............292356...............290567...............291389...............291368...............292578...............293679...............302569...............301379...............301278...............301348...............301248...............305678...............302589...............305689...............300236...............300237...............301289...............301257...............311489...............313479...............315789...............311456...............310346...............313489...............310169...............311468...............320679...............325679...............321567...............323468...............323459...............321247...............323458...............320156...............321459...............322358...............330167...............330467...............330125...............331589...............330239...............332567...............333578...............331457...............330246...............333456...............330158...............331467...............340289...............342467...............340389...............343467...............341679...............344568...............342568...............340358...............342369...............340459...............341569...............340789...............350368...............350145...............351689...............351238...............350159...............351367...............351568...............360178...............360135...............361236...............364789...............361469...............362679...............361458...............360139...............363478...............362459...............360356...............361347...............362367...............371357...............371245...............372478...............371268...............371259...............370126...............374578...............370168...............371239...............370469...............370127...............371234...............370248...............372456...............371479...............372357...............370378...............384679...............380149...............381579...............380249...............380235...............383579...............380279...............381478...............380268...............381349...............380258...............382468...............392345...............394689...............394678...............390134...............391378...............390456...............390367...............390129...............392678...............390238...............390256...............393469...............400349...............401369...............401279...............402457...............403789...............401358...............400589...............403689...............400148...............401346...............410379...............413678...............410124...............413589...............410458...............412689...............410369...............410579...............410578...............420179...............420489...............422579...............420157...............422348...............421678...............424589...............420138...............420123...............421237...............430347...............430257...............434569...............430259...............430247...............432359...............432469...............430146...............430678...............431258...............430267...............431345...............442347...............443568...............440147...............444567...............441235...............450359...............450357...............450234...............452368...............450278...............452346...............450468...............460479...............463569...............463457...............461269...............462378...............460457...............460189...............470128...............471267...............474579...............492458...............490478...............500269...............500568...............510137...............52 The first entry, 0245 is the non-repeating box number drawn the least number of times (cold box), and has been drawn 21 times. The hottest Massachusetts  The Numbers Game non-repeating box number is 0137 (the last entry), and has been drawn 52 times.
 Last appearance of Non-repeating Boxes Box #............Draws ago 0159...............22272468...............21590679...............15810158...............15143478...............14472369...............14114679...............13821589...............13691356...............13122349...............11750459...............11491468...............10801568...............10693458...............10585789...............10503456...............10230169...............10071235...............10000569...............9740346...............9660139...............9491279...............9230347...............9131347...............8430245...............8340235...............8280126...............8224789...............7941245...............7922489...............7862679...............7730358...............7490579...............7401249...............7321348...............7133459...............7112467...............6941237...............6900167...............6862368...............6731457...............6640348...............6551579...............6480267...............6180156...............6132456...............5881358...............5840157...............5641456...............5631349...............5442346...............5412458...............5373789...............5272347...............5131234...............5070248...............5063689...............5020279...............4971267...............4960269...............4901789...............4873568...............4850456...............4792479...............4691247...............4640359...............4622367...............4580589...............4511248...............4495678...............4401289...............4360147...............4281378...............4241679...............4190134...............4130356...............4080123...............4015679...............3951357...............3920278...............3841478...............3762578...............3751256...............3740468...............3732567...............3680678...............3651246...............3562589...............3542689...............3531359...............3480469...............3430379...............3410378...............3331689...............3291479...............3251268...............3110145...............3100268...............3002478...............2912345...............2891278...............2871569...............2850578...............2830289...............2774678...............2720259...............2712469...............2681459...............2661489...............2621458...............2610127...............2570148...............2560489...............2552357...............2502358...............2456789...............2370138...............2350258...............2310349...............2283679...............2222348...............2200136...............2170467...............2154689...............2090178...............2040458...............2024569...............1960179...............1932457...............1920189...............1914568...............1891269...............1843469...............1821258...............1801368...............1780125...............1733479...............1720129...............1690135...............1662389...............1651369...............1630238...............1623678...............1543567...............1523457...............1513467...............1500479...............1480237...............1471469...............1391257...............1380246...............1330478...............1301259...............1270457...............1223589...............1211389...............1190239...............1180247...............1101239...............1092359...............1081238...............1042568...............1033468...............991578...............981567...............930567...............921367...............900124...............890789...............881678...............862678...............850128...............824589...............782789...............773569...............760257...............731346...............691236...............680689...............660367...............644567...............590368...............530137...............500234...............482378...............471345...............420249...............411379...............370389...............340357...............330236...............320256...............300146...............282579...............262459...............250168...............222569...............201467...............192379...............184578...............170345...............164579...............143578...............120369...............110149...............103579...............95689...............52356...............43489...............30568...............1 The first entry, 0159, is the Massachusetts The Numbers Game  non-repeating box number with the longest time elapsed since its last appearance, and there have been 2227 draws. The most recent non-repeating box number is 0568 (the last entry), and was drawn 1 draws ago.

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