Handout_5a Tree diagrams

# Handout_5a Tree diagrams - USING BOTH ADDITION AND...

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USING BOTH ADDITION AND MULTIPLICATION Feb 18’09 RULES OF PROBABILITY Many probability problems can be represented by tree diagrams . When this is possible, the addition and multiplication rules can be applied quite easily. To illustrate the use of tree diagrams, let us consider the following problem. Two balls are drawn at random without replacement from a box containing one each of red, blue , and white balls. Find the probability of drawing (in any order) one red and one blue ball. The following outcomes (events) are possible: 1 st drawing: Event R 1 : red ball is selected first . Event B 1 : blue ball is selected first . Event W 1 : white ball is selected first . 2 nd drawing: Event R 2 : red ball is selected second . Event B 2 : blue ball is selected second . Event W 2 : white ball is selected second . The tree diagram representing this experiment (see Fig. 2) shows mutually exclusive outcomes of a first drawing and then outcomes of a second drawing. (M.V.: Each outcome of the whole experiment is characterized not only by the

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## This note was uploaded on 11/24/2011 for the course MATH 3000 taught by Professor Kzaer during the Spring '05 term at St. Johns College MD.

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Handout_5a Tree diagrams - USING BOTH ADDITION AND...

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