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Solved: Similar to the hospital schedule in Example 2-11,
Chapter 2, Problem 79E(choose chapter or problem)
Similar to the hospital schedule in Example 2-11, suppose that an operating room needs to schedule three knee, four hip, and five shoulder surgeries. Assume that all schedules are equally likely. Determine the probability for each of the following:
(a) All hip surgeries are completed before another type of surgery.
(b) The schedule begins with a hip surgery.
(c) The first and last surgeries are hip surgeries.
(d) The first two surgeries are hip surgeries.
Example 2-11
Hospital Schedule A hospital operating room needs to schedule three knee surgeries and two hip surgeries in a day.
Questions & Answers
QUESTION:
Similar to the hospital schedule in Example 2-11, suppose that an operating room needs to schedule three knee, four hip, and five shoulder surgeries. Assume that all schedules are equally likely. Determine the probability for each of the following:
(a) All hip surgeries are completed before another type of surgery.
(b) The schedule begins with a hip surgery.
(c) The first and last surgeries are hip surgeries.
(d) The first two surgeries are hip surgeries.
Example 2-11
Hospital Schedule A hospital operating room needs to schedule three knee surgeries and two hip surgeries in a day.
ANSWER:
Step 1 of 6
Given,
Total number of surgeons, n = 12
Total outcomes of sample space is calculated using the Permutations of Similar Objects method, ie; The number of permutations of 
We have
Number of knee surgeons,
Number of Hip surgeries,
Number of shoulder surgeries,
So, the total outcomes of sample space is,
