Q.

In a n-sided regular polygon, the probability that the two diagonal chosen at random will intersect inside the polygon is

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a

2nC2  nC2−nC2

b

C2   n(n−1)C2    nC2−n

c

nC4  nC2−nC2

d

none of these

answer is C.

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Detailed Solution

When 4 points are selected, we get one intersecting point.So, probability is nC4  nC2−nC2
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In a n-sided regular polygon, the probability that the two diagonal chosen at random will intersect inside the polygon is