Three distinct vertices are randomly chosen among the vertices of a cube. The probability that they from equilateral triangle is

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

If a triangle is formed using the vertices of a cube then the probability that the triangle is equilateral is

Three vertices are chosen randomly from the seven vertices of a regular 7-sided polygon. The probability that they from the vertices of an isosceles triangle is-

Three vertices are chosen randomly from the seven vertices of a regular 7 -sided polygon. The probability that they form the vertices of an isosceles triangle is

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

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

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

Three distinct numbers are chosen at random from the first 15 natural numbers. The probability that the sum will be divisible by 3 is