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

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. A

    1/10

  2. B

    3/10

  3. C

    1/5

  4. D

    3/20

    Register to Get Free Mock Test and Study Material

    +91

    Verify OTP Code (required)

    I agree to the terms and conditions and privacy policy.

    Solution:

    Choosing three vertices of a regular hexagon alternately, only two equilateral triangles are possible,

    i.e., A1,A3,A5 and A2,A4,A6 Hence,

    required probability= =2 6C3=220=110

    Chat on WhatsApp Call Infinity Learn

      Register to Get Free Mock Test and Study Material

      +91

      Verify OTP Code (required)

      I agree to the terms and conditions and privacy policy.