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
Advantages of packaging: advantages of the packaging may be divided into three parts: Advantage to manufactures: advantages of the packaging available to manufactures are as
Marketing planning: Through strategic planning, the company decides what it wants to do with each business unit. Marketing planning involves deciding on planning marketing s
A new technology mobile which get auto charge while using.
What is concluded by definition of consumer behaviour? The definition of consumer behaviour conclude that this behaviour is the study of consumer about what they buy, while the
Question: The recognition of human capital by modern businesses has led to the development of Human Resource Accounting (HRA). Required (a) Describe the following terms:
what do we mean a distribution chanals?
Q. Describe the nature & scope of marketing & importance of marketing? Ans.: Nature & Scope of Marketing: Marketing is an ancient art and is everywhere. Formally or info
Segmenting industrial markets: 1. Size of the customer: this has been one of the traditional methods of segmenting industrial market. Bases on the size and the purchase
What are the levels of market segmentation? About the Levels of Market Segmentation: The number of possible segments which will result by a segmentation analysis can be a
Company of the enterprise factors: the choice of channel is also influenced by company characteristics such as its financial position, size, product mix, morale of its employers,
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