SOLUTION: having a hard time with this... please help me
A committee of ten people must choose a president, vice president, and a secretary. Two of the committee members are Lucy and Tony
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A committee of ten people must choose a president, vice president, and a secretary. Two of the committee members are Lucy and Tony
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Question 1148003: having a hard time with this... please help me
A committee of ten people must choose a president, vice president, and a secretary. Two of the committee members are Lucy and Tony. Assume the assignments are made at random.
What is the probability that Tony is president and Lucy is vice president?
Write your answer as a reduced fraction. Answer by ikleyn(52893) (Show Source):
The number of all possible ordered triples (President; Vice-President; Secretary) of ten peoples is 10*9*8 = 720.
It is the full space of events.
The number of favorable triples (Tony as President; Luci as Vice-President; Secretary) is only 8,
since only 8 opportunities/people remain for the Secretary position.
Therefore, the probability under the question is P = = . ANSWER
