Probability is a concept which numerically measures the degree of uncertainty and therefore, of the certainty of the occurrence of an event. Apart from games, uncertainty also prevails in other walks of life such as business, economy and even day-to-day activities. An operation which can produce some well-defined outcomes is known as an experiment. There are two types of experiments random experiment and deterministic experiment. Deterministic experiments are the one which produce similar result every time when repeated under identical conditions. The random experiments are the one which produce different result when repeated under similar condition. The example of random experiment is the tossing of a fair coin. The set of all possible outcomes in a random experiment is called a sample space and it is generally denoted by (S).

Example: List all the sample in a simultaneous toss of a die and a coin.

Solution: Clearly, the sample space is given by

     S = {(1, H), (2, H), (3, H), (4, H), (5, H), (6, H), (1, T), (2, T), (3, T), (4, T), (5, T), (6, T)}

 

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