SOLUTION: Among 12 persons 5 are women and 7 are men.one person is chosen at random and then a second person is chosen.the second person drawn is a woman.what is the probability that the fi

Algebra ->  Probability-and-statistics -> SOLUTION: Among 12 persons 5 are women and 7 are men.one person is chosen at random and then a second person is chosen.the second person drawn is a woman.what is the probability that the fi      Log On


   

Question 1176381: Among 12 persons 5 are women and 7 are men.one person is chosen at random and then a second person is chosen.the second person drawn is a woman.what is the probability that the first person was also a woman?
Answer by ikleyn(52824) About Me  (Show Source):
You can put this solution on YOUR website!
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It means, that the first choice was among 5 women of 12 persons,


so the probability under the problem's question is  P = 5%2F12.        ANSWER



Another way to get the same answer is to apply the formula for the conditional probability


    P = %28%285%2F12%29%2A%284%2F11%29%29%2F%28%284%2F11%29%29 = 5%2F12.

Solved.