Probability 1 Question 3
3. If there of the six vertices of a regular hexagon are chosen at random, then the probability that the triangle formed with these chosen vertices is equilateral is
(a)
(b)
(c)
(d)
(2019 Main, 12 April I)
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Answer:
Correct Answer: 3. (a)
Solution:
- Since, there is a regular hexagon, then the number of ways of choosing three vertices is
. And, there is only two ways i.e. choosing vertices of a regular hexagon alternate, here or will result in an equilateral triangle.