Suppose a sphere with radius R. Find the probability of the event such that n selected points of the sphere are within the distance of r=R/2 from the center of the sphere. The points are uniformly distributed and selected independently.

Addyson Bright

Addyson Bright

Answered question

2022-09-24

Geometric Probability. Sphere
Suppose a sphere with radius R. Find the probability of the event such that n selected points of the sphere are within the distance of r = R 2 from the center of the sphere. The points are uniformly distributed and selected independently.

Answer & Explanation

Zackary Galloway

Zackary Galloway

Beginner2022-09-25Added 17 answers

Explanation:
Since the points are independent and the final condition doesn't correlate them in any way, each point can be treated independently so your answer of 1 8 n is correct.

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