Roland2rule wrote:Anthony and Michael sit on the six-member board of directors for company X. If the board is to be split up into 2 three-person subcommittees, what percent of all the possible subcommittees that include Michael also include Anthony?
(a). 20%
(b). 30%
(c). 40%
(d). 50%
(e). 60%
Since Michael's subcommittee must be composed of 3 people, the 2 remaining slots on Michael's subcommittee must be filled from the 5 remaining people.
Thus:
From the 5 remaining people, the probability that Anthony is selected for the 2 remaining slots on Michael's subcommittee = 2/5 = 40%.
The correct answer is
C.
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