SOLUTION: . A company that plans to hire one new employee has prepared a final list of six candidates, all of whom are equally qualified. Four of these six candidates are women. If the comp

Algebra ->  Probability-and-statistics -> SOLUTION: . A company that plans to hire one new employee has prepared a final list of six candidates, all of whom are equally qualified. Four of these six candidates are women. If the comp      Log On


   

Question 1179734: . A company that plans to hire one new employee has prepared a final list of six candidates, all of whom
are equally qualified. Four of these six candidates are women. If the company decides to select at random one person out of these six candidates, what is the probability that this person will be a woman? What is the probability that this person will be a man? Do these two probabilities add up to 1.0? If yes, why?
Answer by ikleyn(53937) About Me  (Show Source):
You can put this solution on YOUR website!
.
A company that plans to hire one new employee has prepared a final list of six candidates,
all of whom are equally qualified. Four of these six candidates are women. If the company decides
to select at random one person out of these six candidates,
(a) what is the probability that this person will be a woman?
(b) What is the probability that this person will be a man?
(c) Do these two probabilities add up to 1.0? If yes, why?
~~~~~~~~~~~~~ 

(a)   P(woman) = 4%2F6 = 2%2F3.      ANSWER


(b)  P(man)    = 2%2F6 = 1%2F3.       ANSWER


(c)  P(woman) + P(man) = 2%2F3 + 1%2F3 = 1.     ANSWER

Solved.