Actually out of \(5\cdot5\cdot5=125\)possible outcomes, there are 6 outcomes that result in winnings of $1700. They are \((300, 400, 1000), (300, 1000, 400), (400, 300, 1000), (400, 1000, 300), (1000, 300, 400)\)and \((1000, 400, 300)\) where the ordered triplets indicate the results of the first, second, and third spin, respectively. So the probability we are looking for is \(\frac{6}{125}\).
The only way to get 1700 is to land on 300, 400, then 1000, so the probability is 1/(5*4*3) = 1/60.
Actually out of \(5\cdot5\cdot5=125\)possible outcomes, there are 6 outcomes that result in winnings of $1700. They are \((300, 400, 1000), (300, 1000, 400), (400, 300, 1000), (400, 1000, 300), (1000, 300, 400)\)and \((1000, 400, 300)\) where the ordered triplets indicate the results of the first, second, and third spin, respectively. So the probability we are looking for is \(\frac{6}{125}\).