What is the probability of randomly selecting one of the shortest diagonals from all the diagonals of a regular octagon?
Choose the most appropriate option
A) 1/4
B) 1/3
C) 1/2
D) 2/5
E) 7/8
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 2/5.   The answer is 2/5.
<result>D</result>
What is the probability of randomly selecting one of the shortest diagonals from all the diagonals of a regular octagon?