Step 1 :a) The possible outcomes are: \( (H, H), (H, T), (T, H), (T, T) \)
Step 2 :b) The probability of landing one head and one tail is \( \boxed{0.5} \)
Step 3 :c) The probability of a head followed by a tail is \( \boxed{0.25} \)
Step 4 :d) The difference between \( P(H, T) \) and \( P(H \text{ then } T) \) is that \( P(H, T) \) represents the probability of getting one head and one tail in any order, while \( P(H \text{ then } T) \) represents the probability of getting a head specifically on the first toss (quarter) and a tail specifically on the second toss (nickel). In this case, \( P(H, T) = 0.5 \) and \( P(H \text{ then } T) = 0.25 \).