Question: There are three important characteristics that can help one pass this class. You could be smart, you could do your homework, and/or you could

There are three important characteristics that can help one pass this class.

There are three important characteristics that can help one pass this class. You could be smart, you could do your homework, and/or you could pay attention in class. In a class of 40 students, 12 are smart, 12 pay attention, and 15 do their homework. 5 students who pay attention also complete homework. 4 smart kids do their homework. 3 smart kids pay attention. Only one kid is smart, does homework, and pays attention. What is the conditional probability that a kid is smart, given that the kid possesses exactly 2 of the three important characteristics?

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