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
Importance of media planning One significant role of the marketing manager is media planning. The media events of a business shouldn't be made 'on the spur of the moment.' Rath
Question1 Suppose you are the brand manager for Subtle, a lightly scented shampoo aimed at women. Sales of your product have been declining. Exploratory research suggests your
The point is a,b let a,b be any point on the graph y= 1/x x cannot equal zero, prove that the area of the triangle formed by the tangent through a,b and the coordinates axes is 2
how we can compare our product with other company''s product in BCG matrix
Your first assignment is to create a brand name, perform a name search online and create a relevant logo that reinforces the brand. The university liked the idea of “engaged and
How is information in technology and organizational structure affected? Conversely, information systems have enabled companies to gain many benefits as like efficiency gains, q
What do you think that thisbrand promotion technique can benefits an organisation by incresing sale
Social factors: in addition to cultural factors, a consumer's behaviour is influenced by such social factors as reference groups, family, and social roles and statues. Referen
3x(squared)=21
Suppose the US and Mexico both produce semiconductors and auto parts and the US has a comparative advantage in semiconductors while Mexico has a comparative advantage in auto parts
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