Learn conditions of Conditional Probability

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<h1>Learn conditions of Conditional Probability</h1><strong> Author: <a href='http://www.articleseen.com/profile_mahan.aspx'>mahan</a></strong><br /><p><p>College algebra is not any subject, but it is a part of mathematics syllabus, which is taught to students of college. It covers many topics like logarithms, permutation, exponential functions, probability and many more. College algebra contains many sub topics of probability. One of them is conditional probability. In this article you will learn about conditional probability. What is probability? The probability of an event depends on the circumstances in which it occurs and the conditional probability is the probability of an event, assuming a particular set of circumstances.</p> <p>Conditional probability is the probability that event A occurs when the sample space is limited to event B. It is denoted as P(A | B) or P.B(A). in this, the two events are separated by a vertical line. This should not be taken as the probability of event A | B. If the two events A and B are not independent, then probability of intersection of A and B (the probability that both events occur) is given by: P(A and B) = P(A) P(B|A). from here, we can easily defined the conditional probability P(B|A) by dividing it by P(A) : P(B | A)= P(A and B)/ P(A). for this the P(A) should be greater then zero.</p> <p>Lets take an example of conditional probability, to understand it properly. A math teacher gave two tests in a class. 25% students of class pass in both the tests and 42% of the class passed in first test. What percent of of those who passed in the first test also passed in second test?</p> <p>Solution: the above problem describes the conditional probability, as it ask us to find the probability that the second test was passed given that the first test was passed. The two events when depend on each other they are given by P (A and B) = P(A).P(B|A) in this question P(First and Second) = 25% and P(First) = 42%. P(Second| First) = P (First and Second)/ P(First) = 25% / 42% = 25/100 / 42/100 = .25/.42 =0.60 = 60% Thus the conditional probability or %of students who pass first and second test is 60%.</p> <p>You can solve math problems with help of online tools. Thousands of websites are running to help kids in learning math and to solve math problems you can also take help of online tutors to solve your queries. There are many different solvers that can solve math problems directly and will also show you different steps involved in solving the questions.</p> </p><strong>About the Author:</strong><br /><p>TutorVista is the #1 portal for learning <a rel="nofollow" href="http://math.tutorvista.com/statistics/conditional-probability.html" title="conditional probability">conditional probability</a> online. The tutors working with us are great in explaining <a rel="nofollow" href="http://math.tutorvista.com/algebra.html" title="college algebra">college algebra</a> in best possible way.</p><p> Article Source: <a href='http://www.articleseen.com/Article_Learn-conditions-of-Conditional-Probability_90939.aspx'> http://www.articleseen.com/Article_Learn conditions of Conditional Probability_90939.aspx</a></p>

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