Coupon Collector Reloaded
A 55-sided fair dice has an integer from 1 to 10 written on each face. Each of the numbers is used times for a total of 55 numbers.
What is the expected number of times the die needs to be rolled so that every number has appeared at least once (to 2 decimal places)?
Note:
This problem might require computational aids.
The answer is 68.984577758983.
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1 solution
This is an instance of Coupon Collector Problem with non-uniform coupon probabilities. The result is well-known .