4-2eqlik - 4.1 (cont.) Probability Models The Equally...

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4.1 (cont.) Probability Models The Equally Likely Approach (also called the Classical Approach)
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Assigning Probabilities If an experiment has N outcomes, then  each outcome has probability 1/N of  occurring If an event A 1  has n 1  outcomes, then P(A 1 ) = n 1 /N
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Dice You toss two dice. What is the probability of the outcomes summing to 5? There are 36 possible outcomes in S , all equally likely (given fair dice). Thus, the probability of any one of them is 1/36. P (the roll of two dice sums to 5) = P (1,4) + P (2,3) + P (3,2) + P (4,1) = 4 / 36 = 0.111 This is S : {(1,1), (1,2), (1,3), ……etc.}
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We Need Efficient Methods for Counting Outcomes
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Product Rule for Ordered Pairs A student wishes to commute to a junior  college for 2 years and then commute to a  state college for 2 years.  Within  commuting distance there are 4 junior  colleges and 3 state colleges. How many  junior college-state college pairs are  available to her?
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Product Rule for Ordered Pairs junior colleges: 1, 2, 3, 4 state colleges a, b, c possible pairs: (1, a) (1, b) (1, c) (2, a) (2, b) (2, c) (3, a) (3, b) (3, c) (4, a) (4, b) (4, c)
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Product Rule for Ordered Pairs junior colleges: 1, 2, 3, 4 state colleges a, b, c possible pairs: (1, a) (1, b) (1, c) (2, a) (2, b) (2, c) (3, a) (3, b) (3, c) (4, a) (4, b) (4, c) 4 junior colleges 3 state colleges total number of possible pairs = 4 x 3 = 12 4 junior colleges 3 state colleges total number of possible pairs = 4 x 3 = 12
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Product Rule for Ordered Pairs junior colleges: 1, 2, 3, 4 state colleges a, b, c possible pairs: (1, a) (1, b) (1, c)  (2, a) (2, b) (2, c) (3, a) (3, b) (3, c)
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This note was uploaded on 02/13/2012 for the course BUS 350 taught by Professor Reiland during the Fall '08 term at N.C. State.

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4-2eqlik - 4.1 (cont.) Probability Models The Equally...

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