How To Play Lotto 247
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.A good way to demonstrate how our delta lotto software system works is to use a deck of cards. You can try this yourself - see instructions at the end of this page!
Here is a normal deck of 52 playing cards, which has been arranged with all the suits in ascending order. We'll assign a number from 1 to 52 to each card, depending where it falls in the deck (see the number chart later in this page.)
If we were to choose a 'lotto number', that is, any group of six consecutive cards from this deck, the delta numbers between each of them would all be ONEs. (NOTE: Click 'HOW' on the top menu of this page if you need our lotto system explained.) So let's use the Analysis Lotto software to plot the delta numbers of groups of six cards drawn from this deck. Here's what it looks like:
An Analysis Lotto delta chart of an unmixed deck of cards.
The ONE column is very large, and the other columns are very small, since almost all the Delta numbers are ONE in an unmixed deck of cards. Contrast this to a delta chart of a thoroughly mixed deck:
This is what a delta chart of a thoroughly mixed deck of cards should look like.
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In this random arrangement of cards, we still see an emphasis toward low deltas, but with a gradual slope downward as the delta numbers get higher.
Now lets shuffle our carefully arranged deck in the normal way, by splitting the deck in two and riffling the two stacks together. I'll bet you thought that this was a good way to randomly mix cards, didn't you? Analysis Lotto shows us that this deck is still very far from random:
A deck of cards after one shuffle.
I guess we need to mix the deck more thoroughly. Here's the deck after two shuffles:
A deck of cards after two shuffles.
After three shuffles:
A deck of cards after three shuffles.
Well, this is frustrating. So let's shuffle the deck TEN TIMES. Surely it will look random, now? Nope, not yet. Here's the delta chart:
A deck of cards after ten shuffles still isn't really mixed!
It should be pointed out that the deck certainly SEEMS to be randomly arranged after ten shuffles. At this point, it is only by having the Analysis Lotto software chart the proportions of the various deltas that we can uncover non-randomness. That we are able to discover mixing errors like this illustrates the unique power of our delta number analysis.
Here's the funny thing. Most math experts will tell you that a deck of cards is completely randomized after seven shuffles. But during my own tests - looking at delta charts, it took me better than 15 shuffles before the deck was clearly randomized - twice as many as the experts predict.
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To answer a possible question you might have, I am shuffling the deck in a very normal way. It is certainly possible that I am untalented at shuffling cards (but probably no worse than the average person.) In any event, you can clearly see that delta number analysis is particularly sensitive for spotting non-random mixing.
This is what our lotto system is all about. If your lotto or keno game lines balls up in numerical order before dumping them into the mixing drum, you may be able to spot the same kinds of mixing errors in lotto numbers!
But does this really happen? Sure, take a look at a Keno game - here is a delta chart of what a random mixture of Keno balls should look like:
An Analysis Lotto chart of random Keno balls.
And here is a chart using actual data (a few months of 2002) from the Canadian Atlantic Keno game:
Actual delta numbers from the Canada Atlantic Keno game.
Compare the difference between the first column and the second on both charts. There are significantly more delta ONEs than TWOs on the second chart, compared to the first - and in the real keno data - almost 25% more than expected!
While most Keno and Lotto games take great pains to randomize the balls the numbers are picked from, that task is clearly not as easy as it seems. Even games that usually have random-appearing Delta charts will have short periods of time when many delta ONES will appear (for example, see my DATA page from the Michigan Lotto) - to speculate on the reason, this might happen because the person who mixes the balls takes a vacation and is replaced by someone less thorough. Or it might happen because of mechanical problems with the Lotto machine. Whatever the reason, if smart players put themselves in a position to spot trends like these (by using the Analysis Lotto software) they may benefit.
Doing the experiment yourself, using the Analysis Lotto software:
Here's how to do the experiment yourself - I'll show you how to do it using either the Analysis Lotto software, or graph paper and pencil.
First, arrange the cards in this numerical order - and keep this list handy, as it shows which number is assigned to each card:
| SPADES | HEARTS | CLUBS | DIAMONDS |
| A=1 | A=14 | A=27 | A=40 |
| 2=2 | 2=15 | 2=28 | 2=41 |
| 3=3 | 3=16 | 3=29 | 3=42 |
| 4=4 | 4=17 | 4=30 | 4=43 |
| 5=5 | 5=18 | 5=31 | 5=44 |
| 6=6 | 6=19 | 6=32 | 6=45 |
| 7=7 | 7=20 | 7=33 | 7=46 |
| 8=8 | 8=21 | 8=34 | 8=47 |
| 9=9 | 9=22 | 9=35 | 9=48 |
| 10=10 | 10=23 | 10=36 | 10=49 |
| J=11 | J=24 | J=37 | J=50 |
| Q=12 | Q=25 | Q=38 | Q=51 |
| K=13 | K=26 | K=39 | K=52 |
Choose DEFINE NEW GAME from the File menu, and name this game CARD TEST. Set the game up as 6 numbers from 1 to 52, no repeats, and make all the other numbers zero. Back at the main screen, set Picks Generated From to RANDOM NUMBER PATTERNS.
Arrange the cards in the order shown above, then shuffle the deck three to five times.
Click on ADD LATEST NUMBER. Take the first six cards off the top of the deck, and using the numbers we have assigned to each card above, enter those six numbers into the box, and hit GO. Then take the next six, enter them, and hit GO again. Go through the whole deck like this (you'll get about 8 combinations.) When finished, hit ADD to build the database.
Now, from the Chart menu, choose the DELTA DISTRIBUTION chart. You should see an exaggerated emphasis on delta ONEs. Compare this to what random should be by pushing the NEXT button in the lower right corner of the chart (this will be a chart of picks generated from random numbers.)
If you do this experiment multiple times, clear (replace) the database each time to get a clean reading.
Doing the experiment on graph paper:
We don't have to use lotto software to do this, but it will be harder. To do the above experiment on graph paper, Number the squares across the bottom of the paper from 1 - 50. Number squares going up the side from 1 - 10.
Arrange the cards in the order shown above, then shuffle the deck three to five times.
Take each set of six cards from the top of the deck and arrange them in numerical order (using numbers from the list above.) Calculate deltas by subtracting each number from the one before it. Darken a square of your graph paper according to the delta number you get. You should wind up with something that looks like one of our Analysis Lotto charts.
How to spot deviations from randomness in lotto games using the Analysis Lotto software:
If you set Analysis Lotto's system to RANDOM NUMBER patterns, you can compare the delta chart of randomly generated numbers to your historical data. When you see more low delta numbers in your historical data than you see in the random numbers, switch your system to HISTORICAL DELTA, and press GENERATE NEW numbers to get numbers to play based on the same pattern of numbers you see in the historical data.
Good luck!
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