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At a party there are only single women and married men with their wives. The probability that a randomly selected woman is single is 2/5. What fraction of the people in the room are married men?

 Jan 22, 2019

Let number of single women be ws and number of married women be wm (Hence number of men = wm)


We are told:  ws/wm = 2/5


fraction of men:   fm = wm/(ws+2wm) 


Divide numerator and denominator by wm:   fm = 1/(ws/wm + 2), hence fm = 1/(2/5 + 2)  or fm = 5/12

 Jan 22, 2019

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