Every Saturday a fisherman goes to the river, the sea and the lake to fish, he catches fish with probabilities 0.25, 0.5 and 0.25 respectively. If he goes to the sea, there is a 75% chance of catching fish, the corresponding figures for the river and lake are 45% and 60% respectively. (i) Find the probability that he catches a fish on a given Saturday? (in) What is the probability that he catches fish on at least three of the five consecutive Saturdays? (in) If on a Saturday, he comes home with very large volume of fish, where is it most likely he has been?