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That his dart lands exactly 5 cm from the centre

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My uncle plays darts on a circular dart board of radius 20 cm. He assumes a dart lands anywhere on the board with equal probability.

a) What is the probability that his dart lands less than 5 cm from the centre of the board?

b) That his dart lands exactly 5 cm from the centre?

c) My uncle wants to divide his board into ten "doughnuts" defined by circles of radii r0<r1<..<r9<r10 with r0 = 0 and r10=20 . Find the radii of these circles so that a dart has the same probability of landing in each "doughnut".

Reference no: EM13960347

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