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.)

(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.
ady

Posted by Ady TZIDON on 2004-12-08 19:27:54