A person is going for a jog; there are two times during the route that the path can go either left or right. There is a 80% chance the jogger will turn left at the first intersection. Further, 16.25% of the time people who turned left at the first intersection will turn right at the second and 50% of those turned right at the 1st intersection will turn right at the 2nd.

(a) Find the probability that the random individual took exactly one right and exactly one left turn in either order?

(b) What is the probability that the random jogger will turn right at the 1st intersection, if they turned right at the 2nd intersection?

(c) Are the turns taken independently? Are the two left turns mutually exclusive?