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xshift's Avatar
United States
2669 Posts
 Posted 10/25/2010  9:55 pm  Show Profile   Bookmark this reply Add xshift to your friends list Get a Link to this Reply
Was actually doing this instead of A1 A2

J 1 A 1 6 1
J 1 2 1 6 1
J 1 3 1 6 1
J 1 4 1 6 1
J 1 5 1 6 1
J 1 6 1 6 1
J 1 7 1 6 1
J 1 8 1 6 1
J 1 9 1 6 1
J 1 10 1 6 1
J 1 J 1 6 1
J 1 Q 1 6 1
J 1 K 1 6 1

then

J 1 A 2 6 1

For the first group, 2 are skipped because J1 and 61 are already in use, iterations 2, 3, 4 are fine so that'd be 50 each. I don't remember where the other 4 went.. I blame Scooby for tying my brain in knots.
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Scooby Due's Avatar
United States
4000 Posts
 Posted 10/25/2010  9:57 pm  Show Profile   Bookmark this reply Add Scooby Due to your friends list Get a Link to this Reply

Quote:
I blame Scooby for tying my brain in knots.


You know that's what I strive for!

That, and a few of these --->
Valued Member
rikcando's Avatar
Canada
287 Posts
 Posted 10/25/2010  10:00 pm  Show Profile   Bookmark this reply Add rikcando to your friends list Get a Link to this Reply

Quote:
J 1 A 2 6 1

Curious, did you count J1-62-61 or J1-J2-61.
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rikcando's Avatar
Canada
287 Posts
 Posted 10/25/2010  10:09 pm  Show Profile   Bookmark this reply Add rikcando to your friends list Get a Link to this Reply
Ok, one last thing before I go to bed. A thought about defining the numerator/denominator.

Numerator:
The number of possible combinations where a Jack and six are within two cards of each other multiplied by the four Jacks in the deck.

Denominator:
The total number of possible combination of cards including a Jack.

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rikcando's Avatar
Canada
287 Posts
 Posted 10/25/2010  10:10 pm  Show Profile   Bookmark this reply Add rikcando to your friends list Get a Link to this Reply
Or would you multiply the quotient by four?

G'nite all.
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xshift's Avatar
United States
2669 Posts
 Posted 10/25/2010  10:10 pm  Show Profile   Bookmark this reply Add xshift to your friends list Get a Link to this Reply
That caused one of the re-do's of the calculations - I wasn't allowing them first, but needed to... so yes, those were being counted.
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xshift's Avatar
United States
2669 Posts
 Posted 10/25/2010  10:11 pm  Show Profile   Bookmark this reply Add xshift to your friends list Get a Link to this Reply

Quote:
Or would you multiply the quotient by four?


I'll get back to you tomorrow on that one.. lol
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Moe145's Avatar
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8904 Posts
 Posted 10/25/2010  11:21 pm  Show Profile   Bookmark this reply Add Moe145 to your friends list Get a Link to this Reply
My brain hurts...May I be excused?
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xshift's Avatar
United States
2669 Posts
 Posted 10/26/2010  01:46 am  Show Profile   Bookmark this reply Add xshift to your friends list Get a Link to this Reply
Help us Moe!

My last brain cell reminded me I had calc'ed this when we were working on the 2xJx2 (5 slot) theory..

132600 3-number combinations
2652 2-number combinations

There are 2598960 combinations of 5-block numbers.

5-number blocks / all potential combinations = 2598960 / 2734212 = 95%

Funny how you can work the math..


Quote:


Numerator:
The number of possible combinations where a Jack and six are within two cards of each other multiplied by the four Jacks in the deck.


I think this would be 800 (50 each J1 61, 62, 63, 64 = 200 * 4 = 800)


Quote:

Denominator:
The total number of possible combination of cards including a Jack.


Total permutations * 4/52? (which would be 10200 3-card only)

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wolf-n-wa's Avatar
United States
602 Posts
 Posted 10/26/2010  01:55 am  Show Profile   Bookmark this reply Add wolf-n-wa to your friends list Get a Link to this Reply
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Scooby Due's Avatar
United States
4000 Posts
 Posted 10/26/2010  02:00 am  Show Profile   Bookmark this reply Add Scooby Due to your friends list Get a Link to this Reply
So, what's the answer? Have we solved this?

Or do you want to know what I've been babbling?
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Scooby Due's Avatar
United States
4000 Posts
 Posted 10/26/2010  02:01 am  Show Profile   Bookmark this reply Add Scooby Due to your friends list Get a Link to this Reply
Wolf, we know you like to mush. Now mush!
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rikcando's Avatar
Canada
287 Posts
 Posted 10/26/2010  06:43 am  Show Profile   Bookmark this reply Add rikcando to your friends list Get a Link to this Reply

Quote:
I think this would be 800 (50 each J1 61, 62, 63, 64 = 200 * 4 = 800)

I think this accounts for J#-x-6# but does not account for 6#-x-J# nor J#-6#-x, 6#-J#-x.
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rikcando's Avatar
Canada
287 Posts
 Posted 10/26/2010  06:52 am  Show Profile   Bookmark this reply Add rikcando to your friends list Get a Link to this Reply
J#-x-6# where x is any other card = 50
Do this for all 4 Jacks =200
Do this again with all 4 6's = 200
Total for right handed matches is 400.

Repeat same process using 6#-x-J# =400
Total for left handed matches = 400

Total all matches = 800.
There would be no additional counts for J#-6# as these would have been seen during previous exerises.
eg.
...
J(1)-10(3)-6(1)
J(1)-10(4)-6(1)
J(1)-J(2)-6(1)
J(1)-J(3)-6(1)
...


Therefore xshift=correct
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rikcando's Avatar
Canada
287 Posts
 Posted 10/26/2010  07:06 am  Show Profile   Bookmark this reply Add rikcando to your friends list Get a Link to this Reply
Total combinations possible of any three cards would be (52*51*50) which covers all possible 3 card combinations, both left and right.

52*51*50=132600

Therefore xshift=does not appear as correct as previously stated.

-----------------------------
Final Answer for all the marbles = (50*4)* 4 / 52*51*50 = 800/132600 = 0.006
Edited by rikcando
10/26/2010 07:32 am
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