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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)


....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.....

.....   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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