2016 is absolutely awesome 11Discrete Mathematics Level 5
Mary starts with one standard die on a table.
At each step, she rolls all the dice on the table: if all of them show a 6 on top, then she places one more die on the table; otherwise, she does nothing more on this step.
Let \(D\) be the number of dice on the table after 2016 such steps.
What is the expected value (average value) of \(6^D\)?