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High Rollers (Posted on 2004-12-08) Difficulty: 3 of 5
If I rolled n fair six-sided dice rolled simultaneously, what's the expected value (in terms of n) of the highest valued die?

(Note: "expected value" refers to the number you would expect to get if you ran this simulation many times and averaged the results.)

See The Solution Submitted by Gamer    
Rating: 2.5000 (4 votes)

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Some Thoughts re: solution by charlie | Comment 4 of 6 |
(In reply to solution by Charlie)

Dear Charlie
Your result is ok , but the reasoning is redundant

6 - (5/6)^n - (4/6)^n - (3/6)^n - (2/6)^n - (1/6)^n

this equation states that the highest number is 6 unless the choise was made out of the first 5 numbers or only out of the first 4 numbers or... etc.. just all ones.

I got this result by plain reasoning without all the calculations and simplifications/
Hope you agree.
Please comment.
  Posted by Ady TZIDON on 2004-12-08 19:27:54

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