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Monopoly Game Example Mutually Exclusive
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Problem: Laura is playing Monopoly. On her next move she needs to throw a sum bigger than 8 on the two dice in order to land on her own property and pass GO. What is the probability that Laura will roll a sum bigger than 8?
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Solution: The only sums larger than 8 are 9, 10, 11, and 12 The outcomes are MUTUALLY EXCLUSIVE P(9 or 10 or 11 or 12) P(9) + (10) + (11) + (12) =
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How can we get a 9 on two dice?
Die Die 2 Since there are 36 total outcomes and there are 4 ways to get a 9, the probability of getting a 9 on two dice is 4/36
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Compute the probabilities for 10, 11, and 12
the same way P(10) = 3/36 P(11) = 2/36 P(12) = 1/36
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Since the outcomes are mutually exclusive, ADD the probabilities
P(9) + P(10) + P(11) + P(12) = 4/ / / /36 = 10/36 = 5/18
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