probability given

Let A and B be any two events associated with a random experiment. The probability of occurrence of event A when the event B has already occurred is called the conditional probability of A when B is given and is denoted as P(A/B..

If a trial results in n-exhaustive, mutually exclusive and equally likely cases and m of them are favourable to the occurrence of an event A, then the probability of the happening of A, denoted by P(A), is given by: P(A) = m/n. Important terms are 1. Statistical or Empiri..

Let us consider the random experiment of throwing a die. Let A be the event of getting an odd number on the die. \ S = {1, 2, 3, 4, 5, 6} and A = {1, 3, 5} Let B = {2, 3, 4, 5, 6}. If, after the die is thrown, we are given the information, that the event B has occurred, then the prob..

So far, we have introduced the sample of an experiment and used it to describe events. In this section, we introduce probabilities associated to the events. If a trial results in n-exhaustive, mutually exclusive and equally likely cases and m of them are favourable to the occurrence of an..

Let A be the event of getting a card greater than 2 but less than 9. B be the event of getting a red card. We have to find the probability of A given that B has occurred. That is, we have to find P (A/B). In a deck of cards, there are 26 red cards and 26 black cards. \ n(B) =..

Summary - P {Occurrence of A given that B has occurred} = P (A|..

Let S be a sample space associated with a given random experiment. A real valued function X which assigns to each w i S, a unique real number, X( w i ) = x i is called a random variable . Two types of random variables are 1. Continuous random variable, 2. discrete ra..

Let A be the event that the house is well planned. B be the event that the house is well built. P (A) = 0.7 Probability that a house, selected is well built given that it is well planned. ..

Find the mean deviation from the mean for the given raw data 12,6,7,3,15,10,18..

Sometimes a circle is used to represent a given data. The various parts of it are proportionally represented by sectors of the circle. Then the graph is called a Pie Graph or Pie Char..