Puzzle | Find The Probability of Distance in a Square Last Updated : 17 Feb, 2023 Comments Improve Suggest changes Like Article Like Report Given 6 point inside a square of side 10cm, what is the probability that there exist at least two points whose distance is less than 8cm? Asked In: FICO Answer: 1 Explanation: The logic of the solution is that if you draw 6 points inside a square of 10 cm then it's sure that there are at least two points within 8cm. Imagine if you draw four points at the vertices of square then their distance between each other is 10 cm. Now you can't draw the remaining two points such that the distance is less than or equal to 8 cm. There should be at least two points whose distance is less than 8cm. so by simple observation the probability is 1. Comment More infoAdvertise with us Next Article Puzzle | Find The Probability of Distance in a Square S Shahnawaz_Ali Follow Improve Article Tags : Aptitude Analytical Mathematical Puzzles Probability FICO Similar Reads Puzzle - Probability of 4 points in a sphere take four arbitrary points on a sphere as the vertices of a tetrahedron. What is the probability that the centre of the sphere will be located within the tetrahedron?Reference: https://www.physicsforums.com/threads/probability-4-arbitrary-points-on-a-sphere.934671/ Consider four arbitrary points on 2 min read Puzzle | Who wins the race on a square field ABCD of 40 acres ABCD is a square field of 40 acres. The line BE is a straight path, and E is 110 yards from D. In a race Adam runs direct from A to D, but Brown has to start from B, go from B to E, and thence to D. Each keeps to a uniform speed throughout, and when Brown reaches E, Adams is 30 yards ahead of him. W 3 min read Probability of getting a perfect square when a random number is chosen in a given range Given two integers L and R that denote a range, the task is to find the probability of getting a perfect square number when a random number is chosen in the range L to R. Examples: Input: L = 6, R = 20 Output: 0.133333 Explanation: Perfect squares in range [6, 20] = {9, 16} => 2 perfect squares T 4 min read 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: Let the length of rope be 1 unit. We choose two points X and Y on the rope. Note: Formation of triangle is based on Triangle inequality i.e. sum of the lengths of a 2 min read 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 going left. Find the probability of reaching all points on the number line after N moves from point N. Each move can be either to the left or to the right. Examples: In 14 min read Like