Already have an account? Get multiple benefits of using own account!
Login in your account..!
Remember me
Don't have an account? Create your account in less than a minutes,
Forgot password? how can I recover my password now!
Enter right registered email to receive password!
What is Conditional Probability?
Two events A and B are said to be dependent when B can occur only when A is known to have occurred (or vice versa). The probability attached to such an event is called the conditional probability and is denoted byP(A/B) or, in other words probability of A given that B has occurred.If two events A and B are dependent, then the conditional probability of B given A is:P(B/A) = P(AB)/P(A)Proof: suppose a1 is the number of cases for the simultaneous happening of A and B out of a1 + a2 cases in which A can happen with or without happening of B.∴ P(B/A) = a1/(a1 + a2) = (a1/n)/(a1 + a2)/n = P(AB)/P(A)Similarly it can be shown thatP(A/B) = P[(AB)/P(B)]The general rule of multiplication in its modified form in terms of conditional probability becomes:P(A and B) = P(B) × P(A/B)Or, P(A and B) = P(A) × P(B/A)For three events A, B and C we haveP(ABC) = P(A) × P(B/A) × P(C/AB)i.e. the probability of occurrence of A, B and C is equal to the probability of A, times of the probability of B given that A has occurred, times the probability of C given that both A and B have occurred.Illustration: a bag contains 5 white and 3 black balls. Two balls are drawn at random one after the other without replacement. Find the probability that both balls drawn are black.Solution: probability of drawing a black ball in the first attempt isP(A) = 3/(5 + 3) = 3/8Probability of drawing the second black ball given that the first ball drawn is blackP(B/A) = 2/(5 + 2) = 2/7∴ The probability that both balls drawn are black is given byP(AB) = P(A) × P(B/A) = 3/8 × 2/7 = 3/28
Math Assignment Help
Features of advertising 1. It is mass communication process every piece of advertising gurantees satisfactionof human wants and wnts them from needs and desires advertisers
Question: Your organization has recently set up an advisory unit for assisting small and medium enterprises. You have to advise a small company about its product portfolio. Pre
Operation Plan Description of company's Operation Schovas which stands for spicy chocolate, vanilla ,strawberry ice cream, will open its first store in central market. Th
What is different between Marketing Information System and Marketing research? Marketing Information System has extensive in scope with compared to marketing research. Whereas
Question 1: Describe why the three segments of the very young, the working women and the elders need different advertising strategies now. Introduction Seven Sub cla
Q. Describe the nature & scope of marketing & importance of marketing? Ans.: Nature & Scope of Marketing: Marketing is an ancient art and is everywhere. Formally or info
What is difference between Business Market and the Consumer Market? The business market comprises all the organizations which obtain goods and services that are used for furthe
consumermind is a black box - discuss.
What is Blackberrys situational analysis and market position
how do shoppers stop develop its demand forecasting
Get guaranteed satisfaction & time on delivery in every assignment order you paid with us! We ensure premium quality solution document along with free turntin report!
whatsapp: +91-977-207-8620
Phone: +91-977-207-8620
Email: [email protected]
All rights reserved! Copyrights ©2019-2020 ExpertsMind IT Educational Pvt Ltd