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2. Two dice are rolled. (a) What is the conditional probability of at least one die showing a 5 , given that the sum is

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2. Two dice are rolled. (a) What is the conditional probability of at least one die showing a 5 , given that the sum is larger than 7 ? (b) What is the conditional probability of the sum to be larger than 7 , given that at least one of the dice is showing a 5

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