Q #5 The computers of six faculty members in acertain department are to be replaced. Two of the faculty membershave selected laptop machines and the other four have chosendesktop machines. Suppose that only two of the setups can be doneon a particular day, and the two computers to be set up arerandomly selected from the six (implying 15 equally likelyoutcomes; if the computers are numbered 1, 2,…, 6, then one outcomeconsists of computers 1 and 2, another consists of computers 1 and3, and so on).
a. What is the probability that both selected setups are forlaptop computers?
b. What is the probability that both selected setups are desktopmachines?
c. What is the probability that at least one selected setup isfor a desktop computer?
d. What is the probability that at least one computer of eachtype is chosen for setup?
