24 August 2015


Probability - Experimental Approach

Probability is defined as the likelihood or chance of something occurring. It is widely used in the study of Mathematics, Statistics, Gambling, Physical sciences, Biological sciences, Weather forecasting, Finance etc. to draw conclusions.

Probability is defined as the numerical method of measuring uncertainty involved in a situation.

A trial is an action which results in one or several outcomes, for example each toss of the coin and each throw of the die are called trials.

An experiment is defined as an action or process that results in well defined outcomes.

An event of an experiment is the collection of some outcomes of the experiment.

Experimental or empirical probability is an estimate that an event will happen based on how often the event occurs after performing an experiment in a large number of trials. 

The experimental or empirical probability P(E) of an event E happening is given by: P(E) = Number of trials in which the event happenedTotal number of trials

The probability of an event lies between 0 and 1 i.e. It can be any fraction between 0 to 1 (including 0 and 1).
Sum of the probabilities of all the possible outcomes of a trial is 1.
Sum of the probability of the occurrence of an event and the probability of the non-occurrence of the event is 1.

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