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
Importance of marketing Importance of marketing to the society 1. Delivery of standard of living to the society: main liability of the marketing is to produce goods a
What are the significant factors that have led to the success of Shoppers Stop?
need requirements about supermarket dbms management system
How holistic marketing concept is different from conventional concept? Holistic marketing is an approach to marketing which attempts to recognize and reconcile and the complexi
Do you think Jack is equipped with the managerial skills needed to head up a team that develops strategies for adapting existing company products into new products for sales
Pricing policy Pricing policy is a highly visible and key component of a company's marketing strategy and marketing plan. A company's pricing policy is the ultimate expression
Q. Message - Source of advertisement? Message-Source:- Person who converse the message of advertiser to the target audience. Also known as brand-ambassador instance sport
Give the example of marketing communications For instance, many organisations in airline industry have shifted their attention to the needs of travel trade, customers and compe
detail note on pricing strategies of any product
What is Local Marketing? Local Marketing: As marketing programmes are designed to cater the requirements and wants of local customer groups (as trading areas, individual
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