Chart: Sum-Totals, Root Sums for Pick 3-Digit Lottery Game, Straight, Boxed
By Ion Saliu, Founder of Lottery Mathematics
The following chart shows all sum-totals in the Pick 3 lottery game and the amount of corresponding 3-digit straight sets.
The Pick 3 lottery has a total of 1000 possible straight sets, from 000 to 999. There are 28 sum-totals or sums, from 0 to 27. The sum-totals with most straight Pick 3 lottery sets are 13 and 14, each with 75 combinations.
Pick-3 Lottery SUMS Chart — Straight Sets
Sum-total Combinations Percentage
0 1 0.10%
1 3 0.30%
2 6 0.60%
3 10 1.00%
4 15 1.50%
5 21 2.10%
6 28 2.80%
7 36 3.60%
8 45 4.50%
9 55 5.50%
10 63 6.30%
11 69 6.90%
12 73 7.30%
13 75 7.50%
14 75 7.50%
15 73 7.30%
16 69 6.90%
17 63 6.30%
18 55 5.50%
19 45 4.50%
20 36 3.60%
21 28 2.80%
22 21 2.10%
23 15 1.50%
24 10 1.00%
25 6 0.60%
26 3 0.30%
27 1 0.10%
Total: 28 1000 100%
PICK 3 Lottery SUMS Chart — Boxed Sets
Sum-total Combinations Percentage
0 1 0.45%
1 1 0.45%
2 2 0.91%
3 3 1.36%
4 4 1.82%
5 5 2.27%
6 7 3.18%
7 8 3.64%
8 10 4.55%
9 12 5.45%
10 13 5.91%
11 14 6.36%
12 15 6.82%
13 15 6.82%
14 15 6.82%
15 15 6.82%
16 14 6.36%
17 13 5.91%
18 12 5.45%
19 10 4.55%
20 8 3.64%
21 7 3.18%
22 5 2.27%
23 4 1.82%
24 3 1.36%
25 2 0.91%
26 1 0.45%
27 1 0.45%
Total: 28 220 100%
PICK 3 ROOT SUMS Chart — Straight
Root Sum Combinations Percentage
0 1 0.10%
1 111 11.10%
2 111 11.10%
3 111 11.10%
4 111 11.10%
5 111 11.10%
6 111 11.10%
7 111 11.10%
8 111 11.10%
9 111 11.10%
Total: 10 1000 100%
PICK 3 ROOT SUMS Chart — Boxes
Root Sum Combinations Percentage
0 1 0.10%
1 24 10.91%
2 24 10.91%
3 25 11.36%
4 24 10.91%
5 24 10.91%
6 25 11.36%
7 24 10.91%
8 24 10.91%
9 25 11.36%
Total: 10 220 100%
Back to the main page introducing the sums or sum-totals for many lottery and lotto games.
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