1.1 Probability Distributions We had introduced the concepts of a probability function and random variables in our last editorial. Probability distributions describe what we think the probability of each outcome is, which is sometimes more interesting to know than simply which single outcome is most likely. They come in many shapes, but in only one size:… Continue reading
Tag: Engineering
Week -14 | Probability Theory – 2
1.1 Baye’s Theorem For mutually exclusive and exhaustive events , for and an event E, we have the following formula for the probability of given that event E has happened: This is what is known as Baye’s Theorem or the theorem of inverse Probability. Ex -1 A bag A contains 2 white balls and 3… Continue reading
Week -14 | Probability Theory – 1
1.1 An Introduction to Probability In basic mathematical terminology, probability of an event is described as the ratio of the favourable chances of that event to take place, and the total number of chances. This ratio, is a number between 0 and 1. In ideal cases, a probability of an event being 1 will refer… Continue reading
Week -13 | Combinatorics – 8
Practice Problems Q-1) There are p intermediate stations on a railway line between 2 points A and B. In how many ways can a train stop at 3 of the stations such that no 2 of the stopping stations are consecutive? Q-2) How many different numbers smaller than can be formed by the digits 0,1,2… Continue reading
Week – 12 | Combinatorics – 6
Q-1) Find the number of triangles whose angular points are at the angular points of a given polygon of n sides, but none of whose sides are on the sides of the given polygon. Solution: The polygon has n sides – hence n angular points. We can choose a triangle from these n angular points… Continue reading