1.1 Introduction to elementary Calculus formulae To thoroughly study and understand this module on Binomial Theorem, we’ll need to understand a couple of basic notations of Calculus and Number Theory to begin with. We’ll cover these topics in detail later on, when the time is right, but for now, let’s concentrate on arming ourselves with… Continue reading
Author: bubuenaa
Week -15 | Probability Theory – 5
Q-1) Two players A and B want respectively m and n points of winning a set of games ; their chances of winning a single game are p and q respectively, where the sum of p and q is unity ; the stake is to belong to the player who first makes up his set… Continue reading
Week -15 | Probability Theory – 4
Q-1) A 5-digit number is formed from the numbers 1,2,3,4,5 without repetition. Find the probability that the number is divisible by 4. Solution: A number is divisible by 4 if and only if the last 2 digits of the number is divisible by 4. Thus these numbers must have the last 2 digits as 24… Continue reading
Week -14 | Probability Theory – 3
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
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