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M316 Chapter 10

# Since there are four mutually exclusive ways to roll

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Unformatted text preview: out the total number of spots showing. In this case, the sample space can be represented as S = {2,3,4,5,6,7,8,9,10,11,12} . To complete our probability model we must assign probabilities to each of these outcomes. We can do this by counting the number of ways to get each result. Here is a table. # 2 3 4 5 6 7 8 9 10 11 12 Prob. 1/36 2/36 3/36 4/36 5/36 6/36 5/36 4/36 3/36 2/36 1/36 3 M316 Chapter 10 Dr. Berg Exercise In the game of craps, the shooter wins on the first roll if a 7 is rolled. He losses on the first roll if a 2, 3, or 12 are rolled. Given any other outcome, the shooter continues rolling. What is the probability that the game will continue? Probability Rules We have already made use of some of the rules of probability. These are: Probability Rules 1 The probability P(A) of any event A satisfies 0 P(A) 1. 2 If S is the sample space in a probability model, then P(S) = 1. 3 Two events A and B are disjoint (or mutually exclusive) if they have no outcomes in common. If A and B are disjoint, then P(A or B) = P(A) + P(B) . This is called the addit...
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