Question: Q2: (8 points) Suppose D1, D2 are both fair, six-sided dice, where each of the numbers {1, 2, 3, 4, 5, 6} appears on exactly
Q2: (8 points) Suppose D1, D2 are both fair, six-sided dice, where each of the numbers {1, 2, 3, 4, 5, 6} appears on exactly one side of D1, and each of the numbers {1, 2, 3, 4, 5, 6} appears on exactly one side of D2. Consider the following experiment E, with sample space S: - Experiment E: Roll D1 until you get either 3 or 5, and record the number of rolls it took. Roll D2 until you get a 5, and record the number of rolls it took. - Sample space S: All pairs (x, y) of strictly positive integers, where x corresponds to the number of rolls of D1 required (including the final roll), and y corresponds to the number of rolls of D2 required (including the final roll). Consider the following Event A: - As an English Question: "Is the SUM of the number of rolls of D1 required AND the number of rolls of D2 required equal to 3?" a (3 points) : Express A as a set of outcomes. b (3 points) : Compute P(A)
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