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Three of the six vertices of a regular h...

Three of the six vertices of a regular hexagon are chosen the random. What is the probability that the triangle with these vertices is equilateral.

A

`(3)/(20)`

B

`(1)/(5)`

C

`(1)/(10)`

D

`(3)/(10)`

Text Solution

Verified by Experts

The correct Answer is:
C
There are two equilateral `DeltaS` and total number of triangles `=.^(6)C_(3)`
`therefore" "(2)/(.^(6)C_(3))=(1)/(10)" is required probability"`
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