Mathematics, 09.11.2019 05:31 catchonyet

Aneedle of length l is dropped on an infinite plane surface that is partitioned into rectangles by horizontal lines that are a apart and vertical lines that are b apart. suppose that the needle’s length l satisfies l < a and l < b. what is the expected number of rectangle sides crossed by the rectangle? what is the probability that the needle will cross at least one side of some rectangle?

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