SOLUTION: The probability that an employs at a company is female is.36. The probability that an employee is female and married is .19. Find the conditional probability that a randomly select

Algebra ->  Probability-and-statistics -> SOLUTION: The probability that an employs at a company is female is.36. The probability that an employee is female and married is .19. Find the conditional probability that a randomly select      Log On


   



Question 1152080: The probability that an employs at a company is female is.36. The probability that an employee is female and married is .19. Find the conditional probability that a randomly selected employee from this company is married given that she is female.
Answer by ikleyn(52771) About Me  (Show Source):
You can put this solution on YOUR website!
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By the definition of the conditional probability, in this case 


    the conditional probability that a randomly selected employee from this company is married given that she is female


    is equal to the ratio of the probability that an employee is female and married (which is 0.19)

    to the probability that an employee at a company is female (which is 0.36).



Therefore, the ANSWER to the problem's question is


    P = 0.19%2F0.36 = 0.527778.

Solved.

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On conditional probability, see the lessons
    - Conditional probability problems
    - More conditional probability problems
in this site.