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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
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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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