explain in your own words using the definition of probability why a the probability of an event that cannot occur is 0 b the pro

Two events associated with a random experiment are said to be mutually exclusive, if both cannot occur together in the same trial. In the experiment of throwing a die, the events A = {1, 4} and B = {2, 5, 6} are mutually exclusive events. In the sa..

An event is the outcome or a combination of outcomes of an experiment. In other words, an event is a subset of the sample space. Whenever an outcome satisfies the conditions, given in the event, we say that the event has occurred..

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 give..

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 ha..

1. Addition Rule of Probability: If A and B are any two events, then 2. P(A C ) = 1 - P(A). 3. P( f ) = 0..

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, the..

If A and B are mutually exclusive events, then \ If A and B are mutually exclusive events, then A/B and B/A are impossible events. For an illustration, let us consider the random experiment of throwing two coins. \ S =..

From our earlier chapter we know that, in statistical experiments, if the events A and B are independent, then But suppose the two events are not independent, that is the occurrence of one depends on the occurrence of other, then how do we compute This can be expl..

Poisson distribution is a limiting process of binomial distribution. Poisson distribution occurs when there are events which do not occur as outcomes of a definite number of outcomes. Poisson distribution is used under the following conditions: Numb..

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. ..