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!
Multiplication Rule: Dependent Events
The joint probability of two events A and B which are dependent is equal to the probability of A multiplied by the probability of B given that A has occurred.
P(A and B) =P(A) P(B|A)
or P(B and A) =P(B) . P(A|B)
This formula is derived from the formula of conditional probability of dependent events.
P(B|A) =
Þ P(A and B) = P(B|A).P(A)
Example
A study of an insurance company shows that the probability of an employee being absent on any given day P(A) is 0.1. Given that an employee is absent, the probability of that employee being absent a second day in succession P(B|A) is 0.4. Events A and B are dependent events because B cannot occur unless event A has occurred. The probability of an employee being absent on two successive days
P(A and B) =P(A) . P(B|A)
=(0.1) (0.4) = 0.04
Thus, the probability of an employee being absent on two successive days is 0.04 or 4% of the time.
Joint probability of several dependent events is equal to the product of the probabilities of occurrence of the preceding outcomes in the sequence.
P(A and B and C...) = P(A) P(B|A) P(C|A and B) ....
When 6 boys were admitted & 6 girls left the percentage of boys increased from 60% to 75%. Find the original no. of boys and girls in the class. Ans: Let the no. of Boys be x
how do you divide
Union and Intersection - Set theory B ∩ C indicates the intersection of B and C. it is the set having all those elements that belong to both B and C If B = {5, 8, 11, 20, 2
three towns are situated in such away that town B is 120 kilometers on a bearing of 030 degrees from town A. Town C is 210 kilometers on a bearing of 110 degrees from town A (a)ca
how to answer this: 3x2-18x-60
Linear Equations - Resolving and identifying linear first order differential equations. Separable Equations - Resolving and identifying separable first order differential
Give an example to illustrate how language incompetence can interfere with a child's ability to perform a task. While setting up a classification activity, a teacher gave the ch
Binomial Mathematical Properties 1. The expected or mean value = n × p = np Whereas; n = Sample Size p = Probability of success 2. The variance = npq Whereas; q =
how it will be ? = ? + Ø
Raghav buys a shop for Rs.1,20,000.He pays half the balance of the amount in cash and agrees to pay the balance in 12 annual instalments of Rs.5000 each. If the rate of interest is
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