Probability of getting a sum on throwing 2 Dices N times

Given the sum. The task is to find out the probability of occurring that sum on the thrown of the two dice N times. Probability… Read More »

Puzzle | Find The Probability of Distance in a Square

Given 6 point inside a square of side 10cm, what is the probability that their exist at least two points whose distance is less than… Read More »

Nonhomogeneous Poisson Processes

Non-homogeneous Poisson process model (NHPP) represents the number of failures experienced up to time t is a non-homogeneous Poisson process {N(t), t ≥ 0}. The… Read More »

Probability that two persons will meet

Problem Statement: Two persons are supposed to meet a spot in a time interval of one hour. The person who comes first will wait for… Read More »

Maximum number of dots after throwing a dice N times

Given a dice with m-faces. The first face of the dice contains a dot, the second one contains two dots, and so on, the m-th… Read More »

Probability of cutting a rope into three pieces such that the sides form a triangle

Given a rope. We have to find the probability of cutting a rope into 3 pieces such that they form a triangle. Answer: 0.25 Explanation:… Read More »

Puzzle | Is it Raining

A Geek is about to get a plane to Hyderabad. Geek wants to know if it’s raining. Geek calls 3 random friends staying at Hyderabad… Read More »

Probability that the pieces of a broken stick form a n sided polygon

We have a stick of length L. The stick got broken at (n-1) randomly chosen points (lengths of parts can be non-integer or floating point… Read More »

Probability of rain on N+1th day

Given an array of 1 and 0’s, where Ai = 1 denotes that ith day was a rainy day and Ai = 0 denotes it… Read More »

Find the probability of reaching all points after N moves from point N

Given N which denotes the initial position of the person on the number line. Also given L which is the probability of the person of… Read More »

Maximizing Probability of one type from N containers

Given N containers consisting of N copies of number A and N copies of number B. We need to arrange the numbers in the N… Read More »

Probability for three randomly chosen numbers to be in AP

Given a number n and an array containing 1 to (2n+1) consecutive numbers. Three elements are chosen at random. Find the probability that the elements… Read More »

Probability of reaching a point with 2 or 3 steps at a time

A person starts walking from position X = 0, find the probability to reach exactly on X = N if she can only take either… Read More »

Select a Random Node from a tree with equal probability

Given a Binary Tree with children Nodes, Return a random Node with equal Probability of selecting any Node in tree. Consider the given tree with… Read More »