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2018 AMC 8 Problems/Problem 23

Revision as of 16:38, 1 October 2019 by Florinaapplezhu (talk | contribs) (STUPID STUPID STUPID STUPID STUPID STUPID STUPID STUPID STUPID STUPID STUPID STUPID STUPID STUPID STUPID STUPID STUPID STUPID STUPID STUPID STUPID STUPID STUPID STUPID STUPID STUPID STUPID STUPID STUPID STUPID STUPID PID STUPID STUPID STUPID STUPID STUPID)

From a regular octagon, a triangle is formed by connecting three randomly chosen vertices of the octagon. What is the probability that at least one of the sides of the triangle is also a side of the octagon?

[asy] size(3cm); pair A[]; for (int i=0; i<9; ++i) { A[i] = rotate(22.5+45*i)*(1,0); } filldraw(A[0]--A[1]--A[2]--A[3]--A[4]--A[5]--A[6]--A[7]--cycle,gray,black); for (int i=0; i<8; ++i) { dot(A[i]); } [/asy]

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STUPID STUPID STUPID STUPID STUPID STUPID STUPID STUPID STUPID STUPID STUPID STUPID STUPID PID STUPID STUPID STUPID STUPID STUPID STUPID STUPID STUPID STUPID STUPID STUPID STUPID STUPID STUPID STUPID STUPID STUPID STUPID STUPID STUPID STUPID STUPID STUPID STUPID STUPID STUPID STUPID STUPID STUPID STUPID STUPID STUPID STUPID STUPID STUPID STUPID STUPID STUPID

See Also

2018 AMC 8 (Problems • Answer Key • Resources)
Preceded by
Problem 22 		Followed by
Problem 24
1 • 2 • 3 • 4 • 5 • 6 • 7 • 8 • 9 • 10 • 11 • 12 • 13 • 14 • 15 • 16 • 17 • 18 • 19 • 20 • 21 • 22 • 23 • 24 • 25
All AJHSME/AMC 8 Problems and Solutions

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