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Three vertices are chosen randomly from the seven vertices of a regular `7`-sided polygon. The probability that they form the vertices of an isosceles triangle is

A

`(1)/(7)`

B

`(1)/(3)`

C

`(3)/(7)`

D

`(3)/(5)`

Text Solution

Verified by Experts

The correct Answer is:
D
`(d)` `DeltaAGB`, `DeltaAFC` and `DeltaAED` are isosceles
`:. P=("^(7)C_(1)xx3)/('^(7)C_(3))=(7xx3)/((7xx6xx5)/(3xx2))=(3)/(5)`
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