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
Characteristics of Sellings oriented concept of marketing, Marketing Management
Do some industry research as to educational lead generating. Determine a target market for this type of biz Find unrelated sites that have much of the targeted demographic as
According to the MCCI Business Confidence Indicator (September 2010), the morale of business leaders is morose with a drop to 96.3 of the confidence level index(March 2010=100)
Q. Explain briefly Social, ethical, legal& economical aspect of advertising. Answer: - Social aspect of advertising- Advertising affects a variety of aspects of social and cult
Consumer perceptions of value Consumers are usually going for value. They feel that they have bought the right product to satisfy their requirements and paid a fair price for
Illustrate about the Demand Based Pricing At times, prices are determined by the demand for product. Under this method, without paying much attention to cost and competitor's p
A planning in which a business expands its activities to include allocation or lines of business related to the selling of its core products.
What is providing value cost balance? Providing Value Cost Balance: Customers expect exact benefits by the product. Marketers require adding as many benefits to their pr
Above the line and below the line communication What has happened hence is that the promotional mix has developed such that original emphasis on heavyweight mass communication
The market for pool rafts in Playa del Largarto is competitive and includes no transaction costs. Five suppliers are willing to sell pool rafts in Playa del Largarto at the follow
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