The probabilities that a student goes to UTech by bus, bicycle, or on foot on a certain day are 0.2, 0.3, and 0.5 respectively. The probabilities of the student being late by these methods are 0.6, 0.3 and 0.1 respectively. (i) If the student was late on this particular day, calculate the probability that the student travelled by bus. (ii) If the student was late on this particular day, calculate the probability that the student didn't travelled by foot