A) \[\frac{1}{2}\]
B) \[\frac{1}{3}\]
C) \[\frac{1}{10}\]
D) \[\frac{1}{20}\]
Correct Answer: C
Solution :
Key Idea: There are six equilateral triangle is formed in the regular hexagon. The total number of triangle formed by the six vertices \[={{\,}^{6}}{{C}_{3}}=20.\] The total number of equilateral triangles formed \[=6\] \[\therefore \] Required probability\[=\frac{2}{20}\] \[=\frac{1}{10}\]You need to login to perform this action.
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