The probabilities of the weather being fine, raining, or snowing are respectively 1/2, 1/3and 1/6. The probabilities that a student arrives on time for school under each of theseconditions are 3/4,...

The probabilities of the weather being fine, raining, or snowing are respectively 1/2, 1/3and 1/6. The probabilities that a student arrives on time for school under each of theseconditions are 3/4, 2/5 and 3/10 respectively. What is the probability that:1) The student arrives at school on time on any given day.2) If the student is late, it was raining