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Mathematics, 17.06.2020 05:57 2021CanadyRaniya

Consider the following variant of Buffon's needle problem (Example 3.1 1) ' which was investigated by Laplace. A needle of length I is dropped on a plane surface that is partitioned in rectangles by horizontal lines that are a apart and vertical lines that are b apart. Suppose that the needle's length I satisfies 1 < a and 1 < b. What is the expected number of rectangle sides crossed by the needle?

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