Expected round of first selection in repeated sampling

Q: Expected round of first selection in repeated sampling

This question evaluates a data scientist's understanding of probability theory, sampling without replacement, and expected value computation as applied to repeated random selection.

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Question

Random Perk Selection: Expected First Round

Scenario

There are 1,000 employees.
Each round, 10 distinct employees are selected at random for a perk.
No one can be selected twice before everyone has had a chance (sampling without replacement across rounds).

Question

On average, in which round do you expect to be selected for the first time? (Hint: hypergeometric reasoning applies because selection is without replacement.)

Expected round of first selection in repeated sampling

Random Perk Selection: Expected First Round

Scenario

Question

Solution

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