Question

Q.6: Three of the six vertices of a regular hexagon are chosen at random.
Find probability that the triangle with three vertices is equilateral.
TL​

Answer 1

Answer:

Three of six vertices of a regular hexagon are chosen at random. The probability that triangle with three vertices is equilateral, is equal to

Let T represent the equilateral triangles

n(T)= No. if equilateral triangle, with six vertices ABCDEF of regular hexagon, are only two namely △ACE;△BDF

and n(S)= Total no. of triangles with six vertices are ==

6

C

3

=20

P(T)=

n(S)

n(T)

=

20

2

=

10

1