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

Sam's age is 1 less than double Shari's age. The sum of their ages is 104. How old is Shari? Let x = Shari's age and let y = Sam's age. Because Sam's age is 1 less than twice S


Mount Everest is 29,028 ft high. Mount Kilimanjaro is 19,340 ft high. How much taller is Mount Everest? Subtract Mt. Kilimanjaro's height from Mt. Everest's height; 29,028 - 19


0+50x1-60-60x0+10=

We have seen that if y is a function of x, then for each given value of x, we can determine uniquely the value of y as per the functional relationship. For some f

Generate G(1000,1/2) and find the largest clique you can.  A clique is a complete sub graph, that is, a set of vertices each pair of which is connected by an edge.

A mailbox opening is 4.5 inches high and 5 inches wide. Determine the widest piece of mail able to ?t in the mailbox without bending? a. 9.5 inches b. 2.2 inches c. 6.7 in