Question

Find the probability that if 9 different-sized washers are arranged in a row, they will be arranged in order of size. Enter your answer as a fraction or round to the first nonzero decimal. P(9 in order of size) =

Answer 1

The probability of arranging 9 different-sized washers in order of size is approximately 0.000003.

Step-by-step explanation:

The probability that 9 different-sized washers will be arranged in order of size when arranged in a row can be calculated using the concept of permutations. Since there are 9 washers and they must be arranged in a specific order, the number of possible arrangements is given by 9!, which is equal to 362,880. The total number of possible outcomes is determined by the number of permutations of 9 objects, which is also equal to 9!. Therefore, the probability can be calculated as:

P(9 in order of size) = 1 / 362,880 ≈ 0.000003