If three 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:

Question

If three 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:, 1 10, 3 10, 1 5, 3 20

MARKS App · Accepted Answer

Total number of ways of selecting three points from vertices of a regular hexagon = C 3 6 = 6.5 . 4 1.2 . 3 = 20 Favorable selection (forming equilateral triangle) = 2 ACE , BDF ⇒ Required probability P = N u m b e r o f f a v o u r a b l e s e l e c t i o n s T o t a l s e l e c t i o n s = 2 20 = 1 10

Search any question & find its solution

Looking for more such questions to practice?