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A coin is dropped randomly on a page ruled with evenly spaced lines. What is the probability that it touches or crosses any on the lines?

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Presentation on theme: "A coin is dropped randomly on a page ruled with evenly spaced lines. What is the probability that it touches or crosses any on the lines?"— Presentation transcript:

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2 A coin is dropped randomly on a page ruled with evenly spaced lines. What is the probability that it touches or crosses any on the lines?

3 A coin is dropped randomly on a page ruled with evenly spaced lines. What is the probability that it touches or crosses any on the lines? Probability = diameter/spacing diameter = d spacing = c

4 A toothpick of length is dropped randomly on a page ruled with evenly spaced parallel lines. What is the probability that it touches or crosses any on the lines? spacing = c length =

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6 Angle  sin  (degrees) (radians) 000 5  /36 0.087155743 10  /180.173648178 15  /120.258819045 20  /90.342020143 255  /360.422618262 30  /60.500000000 357  /360.573576436 402  /90.642787610 45  /40.707106781 505  /180.766044443 5511  /360.819152044 60  /30.866025404 6513  /360.906307787 707  /180.939692621 755  /120.965925826 802  /90.984807753 8517  /360.996194698 90  /21.000000000 Average: 11.95188277/19 = 0.629046462


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