A physical therapist is scheduling appointments for the day. She has seven worker's comp cases and six Medicare patients awaiting care. If she chooses eight at random for her morning schedule, find the probability that she'll pick three worker's comp cases and five Medicare patients. Round your answer to five decimal places. The probability that her eight patients will consist of three worker's comp and five Medicare patients is

Step 1 ：This problem involves combinations and probability. We need to find the number of ways to choose 3 worker's comp cases out of 7 and 5 Medicare patients out of 6. Then, we need to divide this by the total number of ways to choose 8 patients out of the total 13.

Step 2 ：The number of ways to choose 3 worker's comp cases out of 7 is 35.

Step 3 ：The number of ways to choose 5 Medicare patients out of 6 is 6.

Step 4 ：The total number of ways to choose 8 patients out of the total 13 is 1287.

Step 5 ：The probability is calculated by dividing the product of the number of ways to choose 3 worker's comp cases and the number of ways to choose 5 Medicare patients by the total number of ways to choose 8 patients. This gives us a probability of 0.16317016317016317.

Step 6 ：Rounding this to five decimal places, we get \(\boxed{0.16317}\).