Q.

If three vertices of a regular hexagon are chosen at random, then the chance that they form an equilateral triangle is:

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a

13

b

15

c

110

d

12

answer is C.

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Detailed Solution

Three vertices can be selected in 6C3 ways.The only equilateral triangles possible are A1A3A5 and A2A4A6p=26C3=220=110
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If three vertices of a regular hexagon are chosen at random, then the chance that they form an equilateral triangle is: