Question: A) Three points are independently sampled from the uniform distribution on a circle. Find the probability that the angle between each two points (as seen
A) Three points are independently sampled from the uniform distribution on a circle. Find the probability that the angle between each two points (as seen from the center of the circle) is greater than 90 degrees.
B) A balanced die is rolled 800 times. A result of 0 or 1 is considered a success; them other results are failures. Using Chebyshev's inequality, estimate the probability that the success rate is between 19/60 and 21/60.
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