Imagine rolling a standard 6-sided die six times, noting each outcome. You then inscribe these results onto the faces of a new, blank die.
For instance, if you rolled:
3, 5, 3, 6, 1, 2
The second die would lack a 4, instead featuring two 3s.
You then roll this newly created die six times, using those results to label the faces of another fresh die. This iterative process continues, crafting a new die from its predecessor's outcomes.
Eventually, you'll craft a die where all six faces display the same number.
What method would you use to calculate the average number of iterations needed to achieve this uniformity?