Hi Doc,
First of all, I'd like to thank you for your valuable comments.
The idea of BOS is nothing new.
There are two issues regarding 'best' set.
1) Testing all combinations takes a LONG time
2) How do you define BEST
As to issue 1, I have solved this by selecting random sets.
In this case, for number 1, I tested 124865 random sets.
For number 2, I tested another 124865 random sets.
And so on.
As to issue 2, I took the liberty to determine BEST as follows:
I give points for each hit, starting with 1 for a 3 hit, 2 for a 4 hit, 3 for a 5 hit and 4 for a 6 hit. So there's no distinction between 3+0 and 3+1 hits, because not everyone likes the bonus.
You may think that 4 points for a jackpot is far too low, but if I award 100 points, the best sets would only show the 2015 draws already drawn.
I posted a question for better suggestions a long time ago (something like a year ago).
Actually, there is another issue: It's all testing after the fact.
How a set has performed in the last 2015 draws has got little to do with how well it's going to perform in the next draws.
But let's forget about this for now.
As for the number-31-example:
You state "
It should be immediately clear that since 31 has appeared in 293 draws, there are at least 293 lines that have performed better than the line you provide".
You would be right if 31 had occurred with (at least two of) the same numbers every time it comes out.
But since it comes out with other numbers each time, you're not.
With the current scoring system, "your" line has a 'score' of 58, whereas "mine" has 60.
Again, this all depends on the scoring system.
Now about your farm:
You can keep it, 'cause your program is absolutely great!
In fact, so is mine.
The results you show provide are
exactly the same, so we have cross-checked our software.
I say: 3+0=2,400 and 3+1=201.
You say: Match 3=2,601.
It may look like a coincidence to you that 2,400+201=2,601 but I ensure you that it isn't. I'll tell you why...
If you hit 3
and the bonus, but you don't care about the bonus, you still would have hit the 3, right?
I don't think that there's a special rule in 49/6 that if you hit the bonus number all other hits don't count?
My program shows the bonus number because in the Dutch lottery we get different prizes when we hit the bonus number too.
Kind regards,
Goswinus
P.S. My toes are just fine!