The computers of six engineers at a certain company are to be replaced. Two of t

Question

The computers of six engineers at a certain company are to be replaced. Two of the engineers have selected laptops and the other four have selected desktops. Suppose that only two of the setups can be done on Monday, and the two computers to be set up are randomly selected from the six.
How many different ways are there to select the two computers to be set up?
What is the probability that both selected computers are desktops?
What is the probability that at least one desktop computer is selected? The computers of six engineers at a certain company are to be replaced. Two of the engineers have selected laptops and the other four have selected desktops. Suppose that only two of the setups can be done on Monday, and the two computers to be set up are randomly selected from the six.
How many different ways are there to select the two computers to be set up?
What is the probability that both selected computers are desktops?
What is the probability that at least one desktop computer is selected?
How many different ways are there to select the two computers to be set up?
What is the probability that both selected computers are desktops?
What is the probability that at least one desktop computer is selected?

Explanation / Answer

(a) 2 computers can be selected from 6 computers in C(6, 2) ways = 15 ways

(b) 2 desktops can be selected out of 4 desktops in C(4, 2) ways = 6 ways

Probability = 6/15 = 2/5

(c) Probability that no desktop is selected = Probability that both laptops are selected = 1/15

Probability that at least one desktop is selected = 1 - 1/15 = 14/15

Related Questions

Navigate

• Browse (All)
• Browse T
• Subjects

---

---

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