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ISOM111 edmond tutorial

# ISOM111 edmond tutorial - ISOM 111 Tutorial Set 2 Denitions...

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De fi nitions Experiment - process by which meaningful observations (outcomes) are obtained. Sample Space - the set of all possible outcomes of an experiment (denoted as S ). Event - a subset of the sample space S , consists of one or more outcomes of an experiment. Simple Event - an event which cannot be decomposed. Basic Probability Properties The probability of an event, say event A , is denoted as P ( A ) . All probabilities are between 0 and 1. If A is an event, then 0 6 P ( A ) 6 1 The sum of the probabilities of all possible outcomes must be 1. If the set of simple events E 1 , E 2 , · · · , E r represent the sample space S for an experiment, then P ( S ) = r X i =1 P ( E i ) = 1 If event A occurs when one of a set of k simple events E 1 , E 2 , · · · , E k occurs, then P ( A ) = k X i =1 P ( E i ) That is, the probability of an event is the sum of the probabilities of its simple events. 1

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Assigning the Probabilities Assume every possible outcomes are equally likely: P ( E i ) = 1 r where r =
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