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3. We have an urn containing three balls labeled 1,2 and 3. Suppose we draw two balls at random. (a) What is the sample space

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3. We have an urn containing three balls labeled 1,2 and 3. Suppose we draw two balls at random. (a) What is the sample space for this experiment? (b) Write down the set of outcomes corresponding to the following events: A: One of the balls has the label " 2" ". B: The sum of the two numbers is 3. C: The sum of the two numbers is at least 4 . D: The sum of the two numbers is even. (c) Calculate the probability of each of the following events: Ar,A(CD),ADr. Please provide the following information: (1) The set of outcomes corresponding to each event. (2) The probability of the event, preferably expressed as a fraction. Pr(Ac)

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