4.121 Wine tasters. Two wine tasters rate each wine they taste on a scale of 1 to 5. From data on their ratings of a large number of wines, we obtain the following probabilities for both tasters' ratings of a randomly chosen wine: Taster 1 1 2 3 4 5 1 0.03 0.02 0.01 0.00 0.00 2 0.02 0.07 0.05 0.02 0.01 Taster 2 3 0.01 0.06 0.25 0.05 0.01 0.00 0.02 0.05 0.20 0.02 5 0.00 0.01 0.01 0.02 0.06 a. Why is this a legitimate assignment of probabilities to outcomes? b. What is the probability that the tasters agree when rating a wine?

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