formula for probability events

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 . The Ty..

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. e.g., {a head} in the experiment of tossing a coin is an event. {a sum equal to 6} in the experiment of throwing a pair of dice is an event...

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..

S= {1,2,3,4,5,6}] If the event is set of elements less than 2, then E = {1} is a simple event 1) Simple Event: If an event has one element of the sample space then it is called a simple or elementary event..

Events are said to be independent if the occurrence of one event does not affect the occurrence of others. Observe in case(a) of above example, The probability of getting a white ball in the second draw does not depend on the occurrence of the event on the f..

For a random experiment, let E 1 , E 2 , E 3 ,.. E n be the subsets of the sample space S. E 1 , E 2 , E 3 , E n form a set of Exhaustive events if A set of events E 1 , E 2 , E 3 , . E n of S are said to mutually exclusive and exhaustive events if ..

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 P(A) = 0 then A is called a null event, or impossible event..

Consider the experiment of throwing a die. 2) Compound Event: If an event has more than one sample points, the event is called a compound event . In the above example, of throwing a die, {1, 4} is a compound event. 3) Null Event ( f ..

Conditional Probability - 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 ..