Difference between revisions of "2024 AMC 8 Problems/Problem 6"

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==Problem==
 
==Problem==
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4 random points are chosen on a sphere. What is the probability that the tetrahedron with vertices of the 4 points contains the center of the sphere?
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(A) 1/2 (B) 1/4 (C) 3/8 (D) 1/8 (E) 3/10
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(Source: Putnam)
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lmao
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==Solution 1==
 
==Solution 1==

Revision as of 12:36, 21 January 2024

Problem

4 random points are chosen on a sphere. What is the probability that the tetrahedron with vertices of the 4 points contains the center of the sphere?

(A) 1/2 (B) 1/4 (C) 3/8 (D) 1/8 (E) 3/10 (Source: Putnam) lmao

Solution 1