a. Because there are two team captains, there are six people possibly chosen, and there are 6 people the first captain can pick, 5 people the second, 4 the first again...etc, so there are 6*5*4*3*2 ways or 6!=720 ways.
b. if francis is picked last, that means that there are 5 people to choose from for the first captain because francis cannot be chosen, then 4 for the second, etc, so we have 5*4*3*2 or 5!=120 ways that francis can be picked last, and we divide that by 720 because that's the total amount of ways, and we get 1/6 or 0.17(rounded)