Two wine tasters rate each wine they taste on a scale of 1 to 5. From data on th

Question

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. Given that Taster 1's rating for a wine is 3, what is the probability that Taster 2's rating will be higher than Taster 1's? (Round your answer to four decimal places.)

Taster 2 Taster 1 1 2 3 4 5 1 0.03 0.03 0.02 0.00 0.00 2 0.03 0.09 0.05 0.02 0.01 3 0.02 0.05 0.23 0.05 0.01 4 0.00 0.02 0.05 0.20 0.01 5 0.00 0.01 0.01 0.01 0.05

Explanation / Answer

P(taster 2 has rating higher than 3|taster 1 has rating of 3) =(0.05+0.01)/(0.02+0.05+0.23+0.05+0.01)

=0.06/0.36=1/6 =0.1667

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