What is the average number of times it would it take to roll a fair 6-sided die and get all numbers on the die? The order in which the numbers appear does not matter.
I had this questions explained to me by a professor (not math professor), but it was not clear in the explanation. We were given the answer
(1-(5/6)^n)^6 = .5 or
n = 12.152
Can someone please explain this to me, possibly with a link to a general topic?