In selecting a new server for its computing center, a college examines 15 different models, paying attention to the following considerations: (A) cartridge tape drive, (B) DVD Burner, and (C) SCSI RAID Array (a type of failure-tolerant disk-storage device). The numbers of servers with any or all of these features are as follows: |A| = |B| = |C| = 6, |A ∩ B| = |B ∩ C| = 1, |A ∩ C| = 2, |A ∩ B ∩ C| = 0.
(a) How many of the models have exactly one of the features being considered?
(b) How many have none of the features?
(c) If a model is selected at random, what is the probability that it has exactly two of these features?
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