View Single Post
  #36  
Old 10-06-2016, 01:21 PM
chrisk chrisk is offline
Charter Member
 
Join Date: Nov 2003
Location: Southern ontario
Posts: 6,568
Quote:
Originally Posted by LSLGuy View Post
Nope. Anything involving two 6,6 pairs is wrong from the git-go.
Yes, except that: (To complicate things still further )

If you assume that either die is removed randomly, then each of the 11 cases is twinned, like so:
(1, 6)
(1, 6)
(2, 6)
(2, 6)
(3, 6)
(3, 6)
(4, 6)
(4, 6)
(5, 6)
(5, 6)
(6, 1)
(6, 1)
(6, 2)
(6, 2)
(6, 3)
(6, 3)
(6, 4)
(6, 4)
(6, 5)
(6, 5)
(6, 6)
(6, 6)

Where the bolded number is kept on the table. Out of those 22 cases, we can remove 10 on the grounds that a number other than 6 is removed, leaving:

(1, 6)
(2, 6)
(3, 6)
(4, 6)
(5, 6)
(6, 1)
(6, 2)
(6, 3)
(6, 4)
(6, 5)
(6, 6)
(6, 6)
So, out of 12 remaining cases, in 2 there's a 6 still on the table, so the odds are 2/12 or 1/6.