In a regular 10 -sided polygon, two pairs of different vertices (four different vertices altogether) are chosen at random, so that all points chosen are distinct from each other. What is the probability that the line segments determined by each pair of points do not intersect?
A.
\(\frac{5}{9}\)
B.
\(\frac{1}{3}\)
C.
\(\frac{2}{3}\)
D.
\(\frac{3}{5}\)
Exam No：2018 First Round Grades 10-12 Year：2018 Question No：19
Answer:
C
Knowledge points:
G10-12 - Combinatorics - Permutations & Combinations
Solution:
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