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Three vertices are chosen randomly from the seven vertices of a regular 7-sided polygon. The probability that they from 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

`DeltaAGB, DeltaAFC` & `DeltaAED` are isosceles
`P = (.^(7)C_(1) xx 3)/(.^(7)C_(3)) = (7 xx 3)/((7xx6xx5)/(3xx2)) = 3/5`
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