Difference between revisions of "2023 SSMO Team Round Problems/Problem 10"
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Latest revision as of 22:25, 15 December 2023
Problem
There exists a lane of infinite cars. Each car has a chance of being high quality and a chance of being low quality. John goes down the row of cars buying high-quality cars. However, after John sees 3 low-quality cars, he gives up on buying additional cars. Let the probability that he buys at least cars before giving up as . Find .