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
report writing 3000 words
How is an aging work force worked in Demographic Trends? An aging work force: Several impacts of aging work are which the work force will before experience, reliable and
If 3a-2b=8 and a+3b=7, what is the value of 4a+b?
What is the role of following in personal selling process? Follow up: Sales executives must follow up the order produced. It will assist the company to know the customer
What are affective measures of customer satisfaction? Affective Measures of Customer Satisfaction Measurement: A consumer’s attitude as liking or disliking towards a produ
How is impact of promotional efforts determined? Find out the impact of promotional efforts: Marketing research facilitates appraising and improving the methods of sales p
Q. Explain about Return on Investment? Return on Investment: - Return on investment method is completely different method from other methods. This process consider advertisin
considering the concept of product life cycle, where would you put video games in their life cycle?
1. Issued 200,000 shares of $1 par value common stock for $10 per share. 2. Issued a $1,000,000 face value zero-coupon bond with a five-year maturity for $747,260 that is conver
Question: With the recent upsurge in inflation pressures, there has been growing concern expressed by consumer groups, unions and opinion leaders about the erosion purchasin
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