Question

THREE OF THE SIX VERTICES OF A REGULAR HEXAGON ARE CHOSEN AT RANDOM TO FORM A TRIANGLE.FIND THE PROBAILITY THAT THE TRIANGLE WITH 3 VERTICS IS EQUILATERAL TRIANGLE.

Answer 1

Final Answer :1/10.

Steps:
1) Choose three vertices out of 6 vertices in 6C(3) ways = 20 ways
2)Choosen Vertices will form an equilateral in two ways namely A1A3A5 and A2A4A6.

Probability = 2 / 20 = 1/10