What is the probability of randomly selecting one of the shortest diagonals from all the diagonals of a regular 9-sided polygon)?
Answers
A) 1/2
B) 1/3
C) 1/4
D) 1/6
E) 1/9
From any vertex, there are two vertices on sides, which do not make a diagonal but a side.   So the remaining n-3 vertices make diagonals.   There are 2 of these diagonals which are the shortest.   The probability of choosing one of the shortest diagonals is 2/6 = 1/3.   The answer is 1/3.
<result>B</result>
What is the probability of randomly selecting one of the shortest diagonals from all the diagonals of a regular 9-sided polygon)?