Re: Lotto - Gaps - probability, HELP
From: djura (djura-12_at_gawab.com)
Date: 02/09/05
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Date: Wed, 09 Feb 2005 10:30:28 +0100
On 8 Feb 2005 11:57:09 -0800, matt271829-news@yahoo.co.uk wrote:
>
>djura wrote:
>> On 8 Feb 2005 06:45:59 -0800, matt271829-news@yahoo.co.uk wrote:
>>
>> >djura wrote:
>> >> On 7 Feb 2005 04:45:14 -0800, matt271829-news@yahoo.co.uk wrote:
>> >> >djura wrote:
>> >> >> example: (Lotto 6 of 36)
>> >> >>
>> >> >> A B C D E F
>> >> >> 1 4 11 12 24 33
>> >> >>
>> >> >> gaps:
>> >> >> B-A, C-B, D-C, ...
>> >> >>
>> >> >> A B C D E
>> >> >> 3 7 1 12 9
>> >> >>
>> >> >> That means, I'm not interested in exact numbers (all play).
>Far from it I'm afraid. I have absolutely no idea what you're on about.
>Maybe someone else can help, because I'm lost!
>
;))
You're not lost at all, that's my feeling.
- start with the foll gaps:
A A A A A A
all gaps equal.
- only (1) one gaps combination.
I'll choose (by statistical surway) A=4,
so there are
(36-(4+4+4+4+4))x1=36-20=16 Lotto combination.
1 5 9 13 17 21
2 6 10 14 18 22
3 7 11 15 19 23
4 8 12 16 20 24
5 9 13 17 21 25
6 10 14 18 22 26------ all 5
7 11 15 19 23 27
8 12 16 20 24 28
9 13 17 21 25 29
10 14 18 22 26 30----- all 6
11 15 19 23 27 31
12 16 20 24 28 32
13 17 21 25 29 33
14 18 22 26 30 34------ all 5
15 19 23 27 31 35
16 20 24 28 32 36
Well, what's the next step?
Write these 16 combinations on the tickets ;)
Winning balls dropped out from the mixer like this:
10 14 18 22 26 30
see above.
--------------------------------
But, suppose I choose for gaps ABBBB.
"4 the same"
There are alltogether 5 gaps combination:
ABBBB
BABBB
BBABB
BBBAB
BBBBA
(I call it 'diagonal' :))
I'll choose (by statistical surway) A=1, B=4
so there are
(36-(1+4+4+4+4))x5=(36-17)x5=135 Lotto combination.
Group-1: ABBBB (1, 4, 4, 4, 4)
1 2 6 10 14 18
2 3 7 11 15 19
......................... cut
19 20 24 28 32 36
Group-2: BABBB (4, 1, 4, 4, 4)
1 5 6 10 14 18
2 6 7 11 15 19
......................... cut
19 23 24 28 32 36
------------------------ cut (group)
Group-5: BABBB (4, 4, 4, 4, 1)
1 5 9 13 17 18
2 6 10 14 18 19
......................... cut
19 23 27 31 35 36
==========================
Question:
If I catch all 5 gaps (ABCDE), is it possible
to calculate, how many my Lotto
combinations will have 5, 4, 3 shoots?
- OK., there will be 1 with all 6 .)
-- Gramophone free design - no mechanics, pure silicon!
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