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
Question 1: A room at Marriott in Vienna, Mc Donald`s French fries, a vacation package in Bali are all products. a) Show with relevant examples the different levels of the t
Question 1 Detail the process of marketing a product Question 2 Write a long note on the budgets of company advertising Question 3 Write a long note on advertising as in
What is the meaning of selling concept? Meaning: Selling concept declares that consumers will not buy adequate of the organization’s products unless the organization unde
what are the significant factors that have led to the success of shoppers’ stop
if i make 22 dollars a day how much would i have if 2 days
Define the international developments in human resource environment structure. International developments: Global Competition: Companies competing upon global basis
Explain about the Company’s Macroenvironment in brief. The Company’s Macroenvironment: The larger societal forces influence the entire microenvironment demographic, natura
Question 1: (a) What are the major characteristics of a strong brand name? (b) What is the necessity for an organisation to make use of brand extension & flanker brand str
what is modern and traditional value delivery approach???
How is Marketing Customer Focused? It is the Nature of Marketing. Marketing tends to assure and delight customer. The functions of marketing should be directed and focused at t
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