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
17
13
37
35
A
17
B
13
C
37
D
35
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Solution
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A regular 3 sided polygon is nothing else but a heptagon for creating isosceles triangle we need to choose adjacent sides only.
No. of △′s formed =7C3
While number of isosceles triangle formed = No. of points × points available =7×3.
⇒ So, probability =7×37C3=2135=35.
Hence, the answer is 35.
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