A shipment of 27 personal digital assistants (PDAs) contains 3 that are defective. A quality control specialist inspects 2 of the 27 PDAs. If both are defective, then the shipment is rejected. (a)
Explain whether a permutation or a combination is being used.
Combination, because we are interested in which 2 PDAs are selected and the order in which they are selected.
Permutation, because we are interested in which 2 PDAs are selected and the order in which they are selected.
Permutation, because we are only interested in which 2 PDAs are selected, not the order in which they are selected.
Combination, because we are only interested in which 2 PDAs are selected, not the order in which they are selected.
(b)
Find the number of ways that both PDAs will be defective.
ways
(c)
Find the probability of rejecting the shipment. (Round your answer to four decimal places.)