At Technodynamics, Inc., a randomly-selected hiring committee of 4 people is for

Question

At Technodynamics, Inc., a randomly-selected hiring committee of 4 people is formed from a group of 6 employees in marketing and 4 employees in management. a) Find the probability that the committee has exactly 3 employees from marketing. b) Find the probability that the committee has at least one employee from marketing c) Find the probability that the committee has at most one employee from management. Using combination notation, set up the expression that can be used to find the total number of possible committees 10 The total number of possible committees can be written as 4 a) The probability that the committee has exactly 3 employees from marketing is 120 (Round to four decimal places as needed.) b) The probability that the committee has at least one employee from marketing is (Round to four decimal places as needed.) c) The probability that the committee has at most one employee from management is (Round to four decimal places as needed.)

Explanation / Answer

Total number of possible outcomes = 10C4.

a) The 3 employees from marketing can be chosen in 6C3 ways and the one employee from management in 4C1 ways.

The probability that the committee has exactly 3 employees from marketing is = 6C3 * 4C1 / 10C4

= 20 * 4 / 210

= 0.3810

b) The only way that the committee can have no employee from marketing is to select all employees from management. In all other cases, there will be atleast one employee from marketing.

Probability = 209 / 210

= 0.9952.

c) All employees from marketing can be chosen in 6C4 ways and the probability = 6C4 / 10C4

= 15 / 210 = 0.0714

Using result of a, the probability that atmost one employee is from management = 0.0714 + 0.3810 = 0.4524.

Related Questions

Navigate

• Browse (All)
• Browse A
• Subjects

---

---

Integrity-first tutoring: explanations and feedback only — we do not complete graded work. Learn more.