A group of 20 people go out to dinner. 10 go to an Italian restaurant, 6 to

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A group of 20 people go out to dinner. 10 go to an Italian restaurant, 6 to a Japanese restaurant, and 4 to a French restaurant. The fractions of people satisfied with their meals were 4/5, 2/3, and 1/2 respectively. The next day the person you are talking to was satisfied with what they ate. What is the probability that they went to the Italian restaurant? The Japanese restaurant? The French restaurant?

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