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MathNet 2009-part-05 — 172 problems (EN–VI) Question 135

Math Olympiad Vault · MathNet 2009-part-05 — 172 problems (EN–VI)

Question 135

In general, if there are $d$ doors in every room (but still only 1 correct door) and $r$ rooms, the last of which leads into Bowser's level, what is the expected number of doors through which Mario will pass before he reaches Bowser's level?