# Probability Archive

## Probability

What is it, everyone has a sense. There are several formal definitions of probability. Let a weather forecast man says that next day there is a 50% chance of rain. Now what this 50% actually is? It’s a probability that …

## Conditional Probability Formula

If the probability of any event depends on the occurrence of some other event then, it is called conditional probability. Suppose “x” is the event. Event “X” is called conditional probability if it depends on the occurrence of some other …

## Addition Law of Probability Proof

Suppose a sample space “S” consists of “N” outcomes and the probability of each outcome is equally likely. The two events exist from the same sample space containing n1 and n2 outcomes respectively. Events are named as “x” and “y”. …

## Addition Law For Mutually Exclusive Events

First go through the mutually exclusive events. These are the two or more than two events that have nothing in common. Theorem for Addition law of mutually exclusive events states that: If there are two events say “x” and “y” …

## Relative Frequency

Relative frequency is the ratio between the observed frequency of an outcome and the total frequency of any random experiment. Relative frequencies will not be equal, if number of relative frequencies are evaluated from the same experiment. But it should …

## Reduced Sample Space

Reduced sample space is used during solving probability problems. When additional information is mentioned about the experiment, then the sample space “S” will be reduced sample space. The symbol for reduced sample space is “Sr”. To understand what additional information …

## Exhaustive Events

Definitions When a sample space is distributed down into some mutually exclusive events such that their union forms the sample space itself, then such events are called exhaustive events. OR When two or more events form the sample space collectively …

## Mutually Inclusive Events

Events are mutually inclusive, when there is something in common between two or more events. OR Two or more events are said to be mutually inclusive events, if they can occur together in a single experiment. Method of Finding Mutually …

## Mutually Exclusive Events

Mutually exclusive events or disjoint events are the two events that don’t have anything in common. Or it can also be defined as; mutually exclusive events are the two or more than two events that cannot occur at once on …

## Equally Likely & Not Equally Likely Outcomes

If all the outcomes of a sample space have the same chance of occurrence, then it is known as equally likely outcomes. It is not necessary that the outcomes are equally likely, but during an experiment we shall assume that …