In an earlier discussion I raised the question as to why we track consecutive pairs when they are no always the best pairs.
The answer was there are fewer of them and they hit 50% of the time.
After some investigation I'm going to add one.
"Any consecutive pair sets two positions in your combination." Acting like key numbers they lock two numbers to consecutive positions.
If you did a consecutive pair chart for the matrix of any 5/35 (Texas, Connecticut, Massachusetts, South Dakota) this is what you would see.....
1,2 |
5456 |
0 |
0 |
0 |
2,3 |
4960 |
496 |
0 |
0 |
3,4 |
4495 |
930 |
31 |
0 |
4,5 |
4060 |
1305 |
90 |
1 |
5,6 |
3654 |
1624 |
174 |
4 |
6,7 |
3276 |
1890 |
280 |
10 |
7,8 |
2925 |
2106 |
405 |
20 |
8,9 |
2600 |
2275 |
546 |
35 |
9,10 |
2300 |
2400 |
700 |
56 |
10,11 |
2024 |
2484 |
864 |
84 |
11,12 |
1771 |
2530 |
1035 |
120 |
12,13 |
1540 |
2541 |
1210 |
165 |
13,14 |
1330 |
2520 |
1386 |
220 |
14,15 |
1140 |
2470 |
1560 |
286 |
15,16 |
969 |
2394 |
1729 |
364 |
16,17 |
816 |
2295 |
1890 |
455 |
17,18 |
680 |
2176 |
2040 |
560 |
18,19 |
560 |
2040 |
2176 |
680 |
19,20 |
455 |
1890 |
2295 |
56 |
20,21 |
364 |
1729 |
2394 |
969 |
21,22 |
286 |
1560 |
2470 |
1140 |
22,23 |
220 |
1386 |
2520 |
1330 |
23,24 |
165 |
1210 |
2541 |
1540 |
24,25 |
120 |
1035 |
2530 |
1771 |
25,26 |
84 |
864 |
2484 |
2024 |
26,27 |
56 |
700 |
2400 |
2300 |
27,28 |
35 |
546 |
2275 |
2600 |
28,29 |
20 |
405 |
2106 |
2925 |
29,30 |
10 |
280 |
1890 |
3276 |
30,31 |
4 |
174 |
1624 |
3654 |
31,32 |
1 |
90 |
1305 |
4060 |
32,33 |
0 |
31 |
930 |
4495 |
33,34 |
0 |
0 |
496 |
4960 |
34,35 |
0 |
0 |
0 |
5456 |
There are 5456 combinations of every consecutive pair. The columns are broken in to 1st & 2nd positions, 2nd & 3rd, 3rd & 4th and 4th & 5th. The annotations denote where the results begin to shift from one position to the next.
This works for consecutive pairs but once we expand the idea to include all pairs we face a different problem since most pairs DO NOT necessarily hit side by side.
As an example I'll use 17,23. When I first looked at the Texas 5/35 I was amazed that 17,23 had hit 20+ times. Now after running all the pairs for the game, I find that 17,23 is not the best. It is not even the best among the 17s...its only the fourth best here.....
X |
Y |
12 |
13 |
14 |
15 |
23 |
24 |
25 |
34 |
35 |
45 |
TL |
17 |
19 |
3 |
0 |
0 |
0 |
12 |
1 |
0 |
7 |
1 |
3 |
27 |
17 |
28 |
0 |
2 |
2 |
0 |
1 |
3 |
3 |
7 |
8 |
1 |
27 |
17 |
29 |
0 |
1 |
3 |
1 |
0 |
3 |
6 |
4 |
9 |
0 |
27 |
17 |
23 |
1 |
2 |
1 |
0 |
3 |
4 |
1 |
8 |
5 |
1 |
26 |
17 |
25 |
1 |
1 |
0 |
0 |
3 |
5 |
1 |
13 |
2 |
0 |
26 |
17 |
20 |
3 |
1 |
0 |
0 |
7 |
4 |
0 |
6 |
0 |
3 |
24 |
17 |
32 |
0 |
0 |
1 |
1 |
1 |
2 |
6 |
2 |
7 |
4 |
24 |
17 |
26 |
2 |
2 |
0 |
0 |
4 |
6 |
1 |
3 |
4 |
1 |
23 |
17 |
35 |
0 |
0 |
0 |
6 |
0 |
0 |
8 |
0 |
8 |
1 |
23 |
17 |
24 |
1 |
0 |
1 |
0 |
5 |
3 |
2 |
3 |
5 |
1 |
21 |
17 |
34 |
0 |
0 |
0 |
4 |
0 |
2 |
7 |
0 |
7 |
1 |
21 |
17 |
21 |
0 |
2 |
0 |
0 |
4 |
2 |
0 |
9 |
1 |
1 |
19 |
17 |
31 |
0 |
0 |
0 |
2 |
0 |
2 |
5 |
0 |
8 |
2 |
19 |
17 |
22 |
2 |
0 |
0 |
0 |
1 |
6 |
0 |
6 |
1 |
1 |
17 |
17 |
27 |
0 |
3 |
1 |
1 |
2 |
1 |
4 |
1 |
3 |
1 |
17 |
17 |
30 |
0 |
1 |
3 |
0 |
0 |
2 |
2 |
2 |
6 |
0 |
16 |
17 |
18 |
2 |
0 |
0 |
0 |
4 |
0 |
0 |
9 |
0 |
0 |
15 |
17 |
33 |
0 |
0 |
3 |
0 |
1 |
2 |
2 |
0 |
5 |
0 |
13 |
And as we see the consecutive pair 17,18 hits second from the bottom.
More importantly, once we start tracking all pairs we have to expand the number of positions we are tracking. We are now dealing with ten positions, not the simple four we used with consecutive pairs. We now have 1&2, 1&3, 1&4, 1&5, 2&3, 2&4, 2&5, 3&4, 3&5, and 4&5.
Most consecutive pairs will fall in the upper half of the results. Some do not like (in Texas) 17,18 and 11,12....
X |
Y |
12 |
13 |
14 |
15 |
23 |
24 |
25 |
34 |
35 |
45 |
TL |
11 |
21 |
3 |
7 |
3 |
1 |
6 |
6 |
2 |
2 |
1 |
1 |
32 |
11 |
30 |
0 |
0 |
8 |
5 |
1 |
3 |
6 |
2 |
3 |
0 |
28 |
11 |
25 |
0 |
4 |
6 |
1 |
4 |
4 |
2 |
3 |
3 |
0 |
27 |
11 |
16 |
9 |
2 |
0 |
0 |
6 |
3 |
0 |
4 |
0 |
2 |
26 |
11 |
20 |
3 |
5 |
2 |
0 |
5 |
3 |
2 |
4 |
1 |
1 |
26 |
11 |
27 |
0 |
1 |
4 |
3 |
0 |
6 |
3 |
2 |
5 |
0 |
24 |
11 |
13 |
7 |
0 |
0 |
0 |
7 |
2 |
0 |
7 |
0 |
0 |
23 |
11 |
31 |
0 |
0 |
2 |
9 |
0 |
3 |
8 |
0 |
1 |
0 |
23 |
11 |
17 |
1 |
4 |
1 |
0 |
14 |
1 |
0 |
0 |
1 |
0 |
22 |
11 |
23 |
0 |
7 |
1 |
1 |
1 |
6 |
3 |
1 |
1 |
1 |
22 |
11 |
26 |
0 |
2 |
2 |
3 |
0 |
6 |
2 |
2 |
4 |
0 |
21 |
11 |
33 |
0 |
0 |
1 |
4 |
0 |
1 |
10 |
0 |
5 |
0 |
21 |
11 |
34 |
0 |
0 |
0 |
4 |
0 |
1 |
11 |
0 |
4 |
1 |
21 |
11 |
18 |
4 |
4 |
0 |
0 |
6 |
2 |
0 |
3 |
0 |
1 |
20 |
11 |
28 |
0 |
0 |
3 |
1 |
1 |
3 |
4 |
1 |
4 |
3 |
20 |
11 |
24 |
1 |
3 |
5 |
0 |
1 |
5 |
1 |
2 |
1 |
0 |
19 |
11 |
15 |
4 |
0 |
0 |
0 |
6 |
1 |
1 |
3 |
1 |
2 |
18 |
11 |
14 |
7 |
0 |
0 |
0 |
5 |
3 |
0 |
1 |
1 |
0 |
17 |
11 |
22 |
2 |
3 |
3 |
0 |
2 |
5 |
1 |
1 |
0 |
0 |
17 |
11 |
29 |
0 |
1 |
3 |
1 |
0 |
4 |
7 |
0 |
1 |
0 |
17 |
11 |
19 |
1 |
1 |
0 |
0 |
2 |
6 |
1 |
3 |
2 |
0 |
16 |
11 |
35 |
0 |
0 |
0 |
8 |
0 |
0 |
8 |
0 |
0 |
0 |
16 |
11 |
32 |
0 |
0 |
0 |
3 |
0 |
3 |
5 |
0 |
3 |
1 |
15 |
11 |
12 |
2 |
0 |
0 |
0 |
10 |
0 |
0 |
1 |
0 |
0 |
13 |
The important thing to remember is with a consecutive pair you are only concerned with four positions whereas the other combinations offer multiple places for the pair to fall.
As a side note, if you totalled all the results for 12-15 you would get 176 total hits, from 23-25 you get 231 hits, 34-35, 84 hits and 13 hits in column 45. (From that we can theorize that any pair starting with 11 has a best chance of hitting in second position).
At any rate, where they may not be the best pair in the set, consecutive pairs are the one set we know will fall side by side, locking in two positions each and every time they are drawn.
G