Suppose you are watching an intersection at which three cars enter and then turn either left or right, or go through. You record the sequence of directions that each of the three cars take (denote a left turn with L, a right turn with R, and going through with T). (a) Write down the sample space for this experiment. How many elements does it have? (b) Write down the event A that at least one of the cars goes through the intersection in terms of the outcomes in the sample space. (c) Write down the event B that that exactly one car turns right in terms of the outcomes in the sample space. (d) Write down the following in terms of the outcomes in the sample space. i. Ac ii. An B iii. Ben (AUB) (e) Suppose that when a car enters the intersection, it is equally likely to go in any one of the three directions. Compute P(A) and P(B). You may assume that the cars turn independently of one another. (f) Compute P(A/B) and P(BA)