A spinning arrow comes to rest at a random angle 0, which is uniformly dis- tributed on [0, 2π). (a) What is the probability that the angle exceeds T/3?

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Chapter1: Combinatorial Analysis
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2. A spinning arrow comes to rest at a random angle 0, which is uniformly dis-
tributed on [0, 2π).
(a) What is the probability that the angle exceeds π/3?
(b) What is the probability that the sum of the angles on two independent
spins is smaller than π/2?
Transcribed Image Text:2. A spinning arrow comes to rest at a random angle 0, which is uniformly dis- tributed on [0, 2π). (a) What is the probability that the angle exceeds π/3? (b) What is the probability that the sum of the angles on two independent spins is smaller than π/2?
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