Final answer:
The probability that 5 different-sized washers will be arranged in order of size is 0.008333, or approximately 0.83%.
Step-by-step explanation:
To find the probability that 5 different-sized washers will be arranged in order of size, we need to calculate the number of possible arrangements that meet this condition and divide it by the total number of possible arrangements. Since there are 5 washers, there are 5! (5 factorial) = 5 x 4 x 3 x 2 x 1 = 120 possible arrangements. However, only 1 arrangement will have the washers arranged in order of size. Therefore, the probability is 1/120 = 0.008333, or approximately 0.83%.