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 : (a) "America's investors are as busy as they have ever been and its entrepreneurs are seizing on their ideas with the same alacrity as always. Investment in resear
Intensity of the distribution (market coverage): The nature and intensity of the competition in the industry will determine the distribution pattern adopted by a firm. Some
income inreased by 10% later decreased by 10%. total change in % in income
1)What is the LA Galaxy "product"? 2)Which of the seven elements of the service marketing mix are most important in the LA Galaxy marketing program? 3)How is promotion (advertising
Assume Clinique expects to sell 3 million ounces of BB cream within the first year after introduction but expects that half of those sales will come from buyers who would otherwise
How should price be set on a product or service for the first time?
Affordability Based Pricing : The affordability based pricing is relevant in regard of necessary commodities, which meet the basic requirement of all sections of peop
describe the ford needs to do to make sure its sensitive to change in the cultural environment of a country
WV8 is a large not for profit (NFP) public sector organisation responsible for organising the operation of publicly financed schools within its region. WV8 receives its income sole
Question 1: Mauritius has planned to double its number of international tourists within the next 10 years. Discuss the challenges faced by destination marketers in the devel
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