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Three vertices are chosen at random from...

Three vertices are chosen at random from the vertices of a regular hexagon then the probability that the triangle with these vertices is an equilateral triangle is equal to

A

`1/10`

B

`3/5`

C

`9/10`

D

`3/10`

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Knowledge Check

  • Three vertices are chosen from the vertices of a regular hexagon,then the probability that they will form an equilateral triangle is

    A
    `(1)/(5)`
    B
    `(1)/(10)`
    C
    `(2)/(15)`
    D
    `(2)/(5)`

  • Three vertices are chosen at random from the vertices of a regular hexagon then The probability that the triangle has exactly two sides common with the side of the hexagon is

    A
    `1/10`
    B
    `3/5`
    C
    `3/10`
    D
    `9/10`

  • Three vertices are chosen at random from the vertices of a regular hexagon then The probability that the triangle has exactly one side common with the side of the hexagon is

    A
    `1/10`
    B
    `3/5`
    C
    `3/10`
    D
    `9/10`
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