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 personal selling,direct marketing,exhibitions?
What are the various approaches for selecting target markets? Once a firm understand its markets and the suitable bases for segmenting such markets, this should choose an appro
how do i add fractions?
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
Question : (a) What is a knowledge management strategy and what are the basic questions that one needs to ask before developing such a strategy? (b) Using the RICE model,
QUESTION a) Give three reasons why price is a very important element of the marketing mix b) Discuss the different situations that may lead a company to initiate price
Sam has grades of 96,88,86, and 92 on his first four exams. What score does he need on his final exam to have an average of at least 90?
Q. Effect of past-advertisement? Methods of evaluation advertisement effectiveness assumes that response of customers in test-area is the outcome of advertisement done in test
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
suppliers of a hotel have
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