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
What is of Price Bundling? Price Bundling: If the products are associated but are non-substitutes that are complementary or independent one strategic alternative for the
How is the marketing system affected by company strategy? Marketing System influences company strategy: Marketing has its own sub system that interacts along with each ot
Consumer mind a black box-discus..?
various approaches that are followed by FMCG companies test marketing in marketing management
Store merchandising Store merchandising can be a complicated subject and various bulky books have been devoted to it. Simply, the term merchandising in the context of Store Mer
The Boeing Company makes a number of different types of aircraft for the commercial airline industry, e.g., the 727, 747, 757, 767, and 777 jet models. Is there any way for Boeing
Sales promotion: it includes activities other than advertising, personal selling publicity and public relations which are used in the promotiong of the product or in persuading th
What is probe what went wrong? Probe ’what went wrong: It happens while the product is having several special problems. In that case marketing department takes essential s
An art that predicts the likelihood of economic activity on the basis of certain assumptions: a. Compensation b. Sales forecasting c. Sales budgeting d. Selling policy
Question 1: You have just been appointed as Food & Beverage Controller of a medium -size hotel and you have been requested to set up a new control system. (i) Explain in d
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