Suppose that vehicles taking a particular freeway exit can turn right (R), turn left (L), or go straight (S). Consider observing the direction for each of three successive vehicles. a. List all outcomes in the event A that all three vehicles go in the same direction. b. List all outcomes in the event B that all three vehicles take different directions. c. List all outcomes in the event C that exactly two of the three vehicles turn right. d. List all outcomes in the event D that exactly two vehicles go in the same direction. e. List outcomes in D,C ?D , and C?D.

Solution: Step 1: It is given that we are observing the direction for each of three successive vehicles. Which can can turn right (R), turn left (L), or go straight (S) in a particular freeway exit. Step 2 : a) Since it is given that the vehicle can turn either left, right or straight. So the event A that all three vehicles go in the same way will include the outcomes 1) RRR(all three successive vehicles turned right) 2) LLL(all three successive vehicles turned left) 3) SSS(all three vehicles go straight) b) We are observing the direction for each of three successive vehicles so the event B that all the vehicles went into different direction.will include the outcomes. 1) RLS 2) RSL 3) LSR 4) LRS 5) SRL 6) SLR