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
Product item: product item means a specific product of the certain specifications and may be distinguish from the other product, or brands. A particular brand of a product is a pr
How is impact of promotional efforts determined? Find out the impact of promotional efforts: Marketing research facilitates appraising and improving the methods of sales p
define international marketting and furnish its features?
Identify FIVE factors that should be taken into account when forecasting an organisation's need for additional staff. Future Operations/demand Future planned levels of org
Q. Show the Nature of Customers? Nature of Customers: An appropriate media plan should consider the type or class of consumers for whom advertising is to be done. Different c
Explain Marketing Strategy for market leaders with example.
suppliers of a hotel have
Describe the concept of market segmentation, targeting and positioning (STP''s) with a typical example of either a product or an organization you are familiar with.
whatis test marketing?Explain the various approaches that are followed by FMCG companies in test marketing
THE CENTER OF THE CIRCLE PASSING THROUGH THE POINT (0,1)AND TOUCHING THE CURV y=x2 at point (2,4)
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