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Q.

Three of the six vertices of a regular hexagon are chosen at random. The probability that the triangle with three vertices is equilateral equals

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a

$\frac{1}{20}$

b

$\frac{1}{5}$

c

$\frac{1}{2}$

d

$\frac{1}{10}$

answer is C.

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Detailed Solution

Question Image

3 vertices out of 6 can be chosen in Question Image ways

Only 2 equilateral triangles can be formed Question Image and

Question Image Favourable ways

Required probability Question Image

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