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The board of directors of Tarbell Industries consists of eight men and four women. A four-member search committee is
chosen at random to conduct a nationwide search for a new company president.
(a) What is the probability all four members of the search committee will be women?
(b) What is the probability all four members will be men?
(c) Does the sum of the probabilities for the events described in parts (a) and (b) equal 1? Explain.
Fig: 1