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Reduce tickets for an already-filtered coverage

PostPosted: Mon Aug 15, 2022 9:24 am
by sh2187
Hi,

I need to reduce tickets for an already-filtered coverage.

If we have a full wheel 35/6 (1,623,160 tickets), we can optimize it to (35 6 6 10) using "Package >> Reduce >> Optimize Coverage" to 7730 tickets (theoretically).
Now let's supposed we applied filters on the full wheel and we got only 10,000 tickets and we suppose that one of these tickets will match, how can we optimize these 10,000 filtered tickets using 35 6 6 10 ?

The "Optimize Coverage" option will only reduce a full wheel, there is no option to suppose that the filtered tickets have 100% coverage.

Re: Reduce tickets for an already-filtered coverage

PostPosted: Tue Aug 16, 2022 12:04 am
by tdnl46w
sh2187 wrote:... how can we optimize these 10,000 filtered tickets using 35 6 6 10 ?

What do the numbers 35 6 6 10 represent?

Re: Reduce tickets for an already-filtered coverage

PostPosted: Tue Aug 16, 2022 12:53 am
by sh2187
It means we have total 35 balls, the ticket contains 6 numbers, we need to match 6 numbers, number of balls drawn 10 balls.
It's a KENO style lotto.

Re: Reduce tickets for an already-filtered coverage

PostPosted: Tue Aug 16, 2022 7:57 am
by tdnl46w
Hi sh2187.

Can you give an example of the type of 100% coverage option that you are looking for? For this type of lotto, when I check the win coverage for one 6 number hit in a random 10,000 ticket package, it is approximately a 0.61% chance.

Re: Reduce tickets for an already-filtered coverage

PostPosted: Tue Aug 16, 2022 10:09 am
by sh2187
Yes it's normal to have 0.61% if we didn't apply filters which is 10,000/1,623,160.

Regarding the 100% it's not 100% of the 1,623,160 tickets, it's 100% of the filtered tickets which means we suppose that these 10,000 filtered tickets will contain at least one match 6 if 6 drawn.
But also we have 10 drawn instead of 6, so we can reduce the tickets more, I will explain in detail what I mean:

The nature of KENO style makes the cover optimization difficult, in normal lotto we can reduce 35/6 to 35 6 5 6 for example, but in KENO we need to reduce 35/6 to 35 6 6 10 which I don't know if it's possible or not.

We need to play 35 total balls, ticket has 6 numbers, match 6 required, drawn balls = 10 (i.e. 35 6 6 10)

So we first make a full wheel 35/6 = 1,623,160 tickets (because the ticket contains only 6 numbers not 10).

Then we apply filters to reduce the full wheel, let's suppose the result of filters is 10,000 filtered tickets.

We suppose that one of these 10,000 tickets will win (until now the calculations didn't consider 10 balls drawn).

Then now because it's a KENO style, the numbers of drawn balls is more than the numbers in ticket, we have 10 balls drawn, it means the 10,000 tickets can be reduced according to that because:
Mathematically:
(35 6) if no filters applied = 1,623,160 tickets
(35 6 6 10) if no filters applied = 7730 tickets (the 10 balls drawn reduced the tickets without any filter but of course it's not enough because the prize is much less than 7730)

So 1,623,160 unfiltered tickets reduced to unfiltered 7730 tickets
then 10,000 filtered tickets will be reduced to x filtered tickets

That's why I requested from EL to reduce the 10,000 tickets according to 35 6 6 10 but I need to tell EL to consider that these 10,000 contains at least one 6 match, this is the point that I think not possible in EL.

Also I am not sure if EL can work with cases that have number of drawn balls more than the numbers in the ticket.

Re: Reduce tickets for an already-filtered coverage

PostPosted: Wed Aug 17, 2022 3:18 am
by tdnl46w
sh2187 wrote:... That's why I requested from EL to reduce the 10,000 tickets according to 35 6 6 10 but I need to tell EL to consider that these 10,000 contains at least one 6 match, this is the point that I think not possible in EL.

Unfortunately it's not possible in this feature for this lotto setup. EL would have to implement some kind of a package scaling conversion feature for it to work, and that could also require a very powerful PC.

Re: Reduce tickets for an already-filtered coverage

PostPosted: Wed Aug 17, 2022 8:53 am
by sh2187
Yes it's a complicated task, KENO style optimization is very difficult, I wish EL can do something in future for such case.
Thank you