Sum analysis of 3-digit Games - Cash 3, Pick 3, Play 3, Daily 3

The sum of the 3 digits of a 3-digit game ranges from 0 to 27. Sums between 10 and 17 are exprcted to be drawn more than 50% the time.

Watch the latest videos on YouTube.com

Sum of Digits of 3-Digit US Lottery Games

The sum of the 3 digits of the Cash 3, Play 3, Daily 3, Pick 3, The Numbers, Daily Numbers, Numbers, The Daily Game, Lucky Numbers lottery games ranges from 0 to 27; a total of 28 possible sums. The digits of the number 000 sum up to 0, and those of 999 sum up to 27, the rest lie in between. Well over 50% of 3-digit numbers have a sum between 10 and 17; it is therefore not surprizing to see winning numbers with sums 10-17 drawn every other day.

You might be tempted to play all the numbers with sums that range from 10 to 17 everyday in order to win every other day. This is quite naive since you are covering about 50% of the numbers and since the house edge of a state lottery game is 50%, you will only be breaking even every other day and losing in rest. However, it is not a bad idea to analyze the trend of the sums in the past several days and play those that are overdue for a few days.

The following table is a list of all the 28 possible sums and the corresponding distinct 3-digit numbers.

Sum	How many have this sum	List of distinct boxes having this sum	Odds of winning with the sum	Probability of the sum to be drawn
0	1	000	1:1000	0.1%
1	3	001	1:333	0.3%
2	6	002,011	1:167	0.6%
3	10	003,012,111	1:100	1.0%
4	15	004,013,022,112	1:67	1.5%
5	21	005,014,023,113,122	1:48	2.1%
6	28	006,015,024,033,114,123,222	1:36	2.8%
7	36	007,016,025,034,115,124,133,223	1:28	3.6%
8	45	008,017,026,035,044,116,125,134,224,233	1:22	4.5%
9	55	009,018,027,036,045,117,126,135,144,225,234,333	1:18	5.5%
10	63	019,028,037,046,055,118,127,136,145,226,235,244,334	1:16	6.3%
11	69	029,038,047,056,119,128,137,146,155,227,236,245,335,344	1:14	6.9%
12	73	039,048,057,066,129,138,147,156,228,237,246,255,336,345,444	1:14	7.3%
13	75	049,058,067,139,148,157,166,229,238,247,256,337,346,355,445	1:13	7.5%
14	75	059,068,077,149,158,167,239,248,257,266,338,347,356,446,455	1:13	7.5%
15	73	069,078,159,168,177,249,258,267,339,348,357,366,447,456,555	1:14	7.3%
16	69	079,088,169,178,259,268,277,349,358,367,448,457,466,556	1:14	6.9%
17	63	089,179,188,269,278,359,368,377,449,458,467,557,566	1:16	6.3%
18	55	099,189,279,288,369,378,459,468,477,558,567,666	1:18	5.5%
19	45	199,289,379,388,469,478,559,568,577,667	1:22	4.5%
20	36	299,389,479,488,569,578,668,677	1:28	3.6%
21	28	399,489,579,588,669,678,777	1:36	2.8%
22	21	499,589,679,688,778	1:48	2.1%
23	15	599,689,779,788	1:67	1.5%
24	10	699,789,888	1:100	1.0%
25	6	799,889	1:167	0.6%
26	3	899	1:333	0.3%
27	1	999	1:1000	0.1%

The second column is the total numbers that have this sum while the third column lists only the distinct boxes. For instance, there are 3 numbers that have sum of 1 and they are 001, 010, and 100. Since all three are simply different arrangements of the number 001, we have listed only 001 in the third column.

You can play a sum game in New York and Texas state lotteries separate from their 3-digit Numbers game; it is caled Lucky Sum in new York and Sum It Up in Texas. The payout in this game is just proportional to the odds of winning. Matching a sum of 12,13,14,15 pays $6.50 for a dollar bet; and matching 0 or 27 pays $500.

Info bottom Menu

General Information
US-Lottery Games
State Games
Multiple-State Games
Lottery Articles
RSS Feeds
Quick link
Official Sites
Other Links
Problem Gambling
All US Latest

3-Digit Games
US-3-Digit Games
How to Play
Grouping and Odds
Sums of 3-digits
Combinations and Permutations

4-Digit Games
US-4-Digit Games
How to Play
Grouping and Odds
Sums of 4-digits
Combinations and Permutations

Multi-Number Games
US-Multi-Num Games
Odds Calculator
Lottery Wheels
Full Wheels
Abbreviated Wheels

• WE DO NOT SELL ANY LOTTERY, WE DO NOT BUY LOTTERY NUMBERS ON BEHALF OF ANYONE; this is only an information and guide web site.