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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