In a certain office, 1/3 of the workers are women, 1/2 of the women are married and 1/3 of the married women have children. If 3/4 of the men are married and 2/3 if the married men have children, what part of workers are without children?
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Solution
Total women=1/3 in which married =1/2 of 1/3 =1/6 Women who has child=1/3 of married women =1/3 of 1/6= 1/18 Total men =2/3 (as 1/3 are women) Married man=3/4 of total man =3/4 of 2/3=1/2 Man who has child=2/3 of married man =2/3 of 1/2 =1/3 child having man+women=1/18+1/3=7/18 part that don't have child=1-7/18 =11/18