I have a stick of length 3 cm and I select 2 random points on it and break it at those points to get 3 pieces.
If the probability that these pieces will form a triangle is m/n where m and n are coprime integers then what is the value of m × n?
Three points are selected at random on a sphere's surface. What is the probability that they all lie in the same hemisphere? Assume that the great circle, bordering a hemisphere, is part of the hemisphere.
Triangle ABC is stuck in a circle. Its points are on random areas on the circumference of the circle. What is the probability of the triangle covering the centre of the circle?
A bag contain 5 blue and 4 black balls. Three balls are drawn at random. What is the probability that 2 are blue and 1 is black.
There are 8 boys and 5 girls in a class. If four students are selected at random, what is the probability that 2 girls and 2 boy are selected?
