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Assume a unit circle. Consider a triangle whose edges/corners fall on the boundary of the circle (the three sides of the triangle are arcs of the circle). What is the probability that the triangle covers the center of the circle? Provide a detailed reasoning for your answer.

Assume a unit circle. Consider a triangle whose edges/corners fall on the boundary of the circle (the three sides of the triangle are arcs of the circle). What is the probability that the triangle covers the center of the circle? Provide a detailed reasoning for your answer.

A First Course in Probability (10th Edition)
A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
Section: Chapter Questions
Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...
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please show each single step(even simple ones). explain which formula you are using and why - give background info. please give detailed answer.

Assume a unit circle. Consider a triangle whose edges/corners fall on the boundary of the circle (the three sides of the triangle are arcs of the circle). What is the probability that the triangle covers the center of the circle? Provide a detailed reasoning for your answer.
Transcribed Image Text:Assume a unit circle. Consider a triangle whose edges/corners fall on the boundary of the circle (the three sides of the triangle are arcs of the circle). What is the probability that the triangle covers the center of the circle? Provide a detailed reasoning for your answer.
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