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Unformatted text preview: a. They are all brown? (0.3)(0.3)(0.3) = 0.027 b. The third one is the first one that is red (the first two are not red)? (0.8)(0.8)(0.2) = 0.128 c. None are yellow? (0.8)(0.8)(0.8) = 0.512 d. At least one is yellow? 1 P(x = none are yellow) = 1 0.512 = 0.488 You have calculated the probabilities of getting various M&Ms based on the assumptions that the outcomes described were mutually exclusive. Other answers depended on the assumption that the events were independent. Do you understand the difference between mutually exclusive and independent? a) If you draw one M&M, are the events of getting a red one and getting an orange one mutually exclusive or independent or both or neither? Both: mutually exclusive and independent b) Can disjoint (mutually exclusive) events ever be independent? Explain. Yes ...
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 Winter '10
 C.Eckerle
 Math, Binomial

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