Who will be selected?

A man and his wife appear for an interview for two posts. The probability of the man's selection is 1 5 \dfrac{1}{5} and that of the wife is 1 7 \dfrac{1}{7} . The probability that at least one of them is selected, is?

11 35 \dfrac{11}{35} 3 7 \dfrac{3}{7} 12 35 \dfrac{12}{35} 9 35 \dfrac{9}{35}

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1 solution

Parveen Soni
Nov 25, 2014

Selected=S man =m woman=w not selected=nS
P(atleast one selected)=P(mS wNS) +P(mnS wS) +P(mS wS)
P(required)=(1/5)(1-1/7)+(1-1/5)(1/7)+(1/5)(1/7)=11/35

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