We pick a die at random and roll it three times we get, Dissertation

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We pick a die at random and roll it three times we get

Suppose in a casino, two kinds of dice are used, one kind of which 98% are fair, and 2% are loaded such that ?ve comes up 60% of the time and the rest of the numbers are equally probable. We pick a die at random and roll it three times. We get three consecutive ?ves. What is the probability that the die is loaded?

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Dissertation: We pick a die at random and roll it three times we get

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