Conditional probability - rules of probability, Mathematics

Conditional probability - Rules of Probability

This is the probability associated with combinations of events but given that some prior result has already been achieved with one of them.

It's expressed in the form of

P(x|y) = Probability of x given that y has already occurred.

P(x|y) =  P(xy)/P(y) → conditional probability formula.

Illustration

In a competitive examination 30 candidates are to be chosen.  In all 600 candidates appear in a written test, and 100 will be call for the interview.

(i) What is the probability that a person will be called for the interview?

(ii) Find out the probability of a person getting chosen if he has been called for the interview?

(iii) Probability that person is called for the interview and is chosen?

Solution:

Assume event A be that the person is called for the interview and event B that he is chosen.

(i) P(A) = 100/600  = 1/6 

(ii) P(B|A) =  30/100 = 3/10

(iii) P(AB) = P(A) × P(B|A)

=  (1/6) * (3/10) = 3/60 = 1/20

Posted Date: 2/19/2013 8:11:51 AM | Location : United States







Related Discussions:- Conditional probability - rules of probability, Assignment Help, Ask Question on Conditional probability - rules of probability, Get Answer, Expert's Help, Conditional probability - rules of probability Discussions

Write discussion on Conditional probability - rules of probability
Your posts are moderated
Related Questions
Donald sold $5,250 worth of latest insurance policies last month. If he receives a commission of 7% on new policies, how much did Donald earn in commissions last month? To ?nd

A racquetball court is 40 ft through 20 ft. What is the area of the court in square feet? The area of a rectangle is length times width. Thus, the area of the racquetball court

I need help with this question: Find the probability that two quarters and a nickel are chosen without replacement from a bag of 8 quarters and 12 nickles.

advantages and disadvantages of laspeyres and paasche

without using a calculator how would you know is cos theta(20) is greater than cos theta (35)

Illustrates that each of the following numbers are solutions to the following equation or inequality. (a) x = 3 in x 2 - 9 = 0 (b) y = 8 in 3( y + 1) = 4 y - 5 Solution

The interval of validity for an IVP along with initial conditions: y(t 0 ) = y 0 or/and y (k) (t 0 ) = y k There is the largest possible interval on that the solution is va

explain the basics of permutation

briefly explain what is meant by LPP

You would like to have $4000 in four years for a special vacation following graduation by making deposits at the end of every 6 months in an annuity that pays 7% compounded semiann