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
market positioning error
Question 1 Define e-tailing. Explain the future of electronic retailing Question 2 Explain the factors which are leading to the growth of retail sector Question 3 Descri
Scope of Advertisement 1) Increase in Ad functions :- Earlier ads were designed to persuade informative needs of buyers in the form of public announcements however now adverti
Characteristics of the promotional types: Factor Advertising Publicity Personal selling Sales promotion Audien
The purchase of the smartphones by the netizens has a psychological or functional motive?
Critically analyze Mr. Vincent?s reasoning in mangementk question #Minimum 100 words accepted#
Question 1 (a) Relate the importance of well linking any visual aid to its specific message and explain the functions that visual aids can have. (b) The marketing officer of
Question 1: (a) Clearly explain the concept of rules versus discretionary central banking policies. (b) Discuss the various risks faced by the financial system and disc
Elaborate the term packaging? Even after the branding and development of product that product desires arise to fulfil all the other aspects of marketing mix. But most physical
Determine the major decision of marketing activities So marketing manager concentrates on four major decision areas when planning the marketing activities, namely, (i) products
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