Question: sequence of numbers and probability test

Dear all

A question seem difficult to get an answer by hand, we need a few lines code to get the right answer.

If one roll a die  N times, we get a sequence of N numbers, the number of dots on top on the first roll, the number on the second roll, and soon.


How many times ( N) do we have to roll the die to have probability at least one half that all six numbers appear in our sequence


Many thinks




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