(Answered) The probabilities of the weather being fine raining or

Statistics

The probabilities of the weather being fine, raining, or snowing are respectively 1/2, 1/3, and 1/6. The probabilities that a student arrives on time for school under each of these conditions is 3/4, 2/5, and 3/10 respectively. What is the probability that:

a. the student arrives at school on time on any given day;

b. if the student is late, it was raining?

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