How many times do you have to roll a dice to get all 6 numbers?

How many times do you have to roll a dice to get all 6 numbers? And so on, until the random time of appearance of the last and sixth result, which is geometrically distributed with parameter of success 1/6, hence with mean 6/1. This shows that the mean total time to get all six results is 6∑k=16k=14710=14.7.

And so on, until the random time of appearance of the last and sixth result, which is geometrically distributed with parameter of success 1/6, hence with mean 6/1. This shows that the mean total time to get all six results is 6∑k=16k=14710=14.7.