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MathNet 2016-part-03 — 184 problems (EN–VI) Question 25

Math Olympiad Vault · MathNet 2016-part-03 — 184 problems (EN–VI)

Question 25

In a certain school, there are $5000$ students. Each student is assigned an ID number from $0001$ to $5000$. No two students can have the same ID number. If a student is selected uniformly at random, what is the probability that the ID number of the student does not contain any $2$s among its digits?