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Rolling to score (Posted on 2010-11-15) Difficulty: 4 of 5
We roll five standard dice (sides numbered 1 to 6) and write down the sum of the top three i.e. of the 3 highest values.
What is the probability to get 15 ?

No Solution Yet Submitted by Ady TZIDON    
Rating: 3.3333 (3 votes)

Comments: ( Back to comment list | You must be logged in to post comments.)
re: analytical attempt at it (Vishal Gupta) | Comment 12 of 17 |
(In reply to analytical attempt at it by Vishal Gupta)

From your solution:

6,6,3,1,1 and 6,6,3,2,2 have 5!/2!2! = 30 ways each

6,6,3,3,1 and 6,6,3,3,2 have 5!/2!2! = 30 ways each


You forgot to count these twice.  You had 60 + 30 + 30 + 10 = 130.  It should be 60 + 30*2 + 30*2 + 10 = 190.  Otherwise, nicely done.


  Posted by hoodat on 2010-11-16 16:21:44
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