Conditional probability - rules of probability, Mathematics

Assignment Help:

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


Related Discussions:- Conditional probability - rules of probability

The expected monetary value method, The expected monetary value method ...

The expected monetary value method The expected pay off as profit associated with a described combination of act and event is acquired by multiplying the pay off for that act a

Projections - vector, Projections The good way to understand projection...

Projections The good way to understand projections is to see a couple of diagrams. Thus, given two vectors a → and b → we want to find out the projection of b → onto a → . T

Fractions, If i worked 7 1/3 hours and planted 11 trees how many hours did ...

If i worked 7 1/3 hours and planted 11 trees how many hours did it take to plant each tree?

Where is the bus in relation to the hotel, A bus picks up a group of touris...

A bus picks up a group of tourists at a hotel. The sightseeing bus travels 2 blocks north, 2 blocks east, 1 block south, 2 blocks east, and 1 block south. Where is the bus in relat

Example to understanidng of multiplication, 6-year-old Rahul wasn't able to...

6-year-old Rahul wasn't able to understand multiplication when it was thrust upon him in school. His mother discussed this problem with some of us. On the basis of suggestions that

Mortgages, compute the monthly payment on a 30 year level payment mortagage...

compute the monthly payment on a 30 year level payment mortagagesasuming an annual mortgages principal of $400000

#Regular Expression, Find the Regular Grammar for the following Regular Exp...

Find the Regular Grammar for the following Regular Expression: a(a+b)*(ab*+ba*)b.

Definition of functions, Definition: An equation is considered as function...

Definition: An equation is considered as function if for any x in the domain of the equation (the domain is the entire x's which can be plugged into the equation) the equation wil

Write Your Message!

Captcha
Free Assignment Quote

Assured A++ Grade

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!

All rights reserved! Copyrights ©2019-2020 ExpertsMind IT Educational Pvt Ltd