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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)

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Hints/Tips re: Perhaps.... ) A HINT | Comment 3 of 17 |
(In reply to Perhaps.... (comment) by ed bottemiller)

 

Ed:
....from low to high (11111 to 66666) there are 252 unique combinations, of which 31 total 15 for the three dice with the highest values.....

Ady:
.....   there are 6^5 distinct  combinations, of which xxx  total 15 for the three dice with the highest values.....

Now count them slowly to get the right xxx,
remember- it is d4 for analytical solution and d2 at most if you let software to count them


  Posted by Ady TZIDON on 2010-11-15 18:31:59
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