A) \[\frac{1}{7}\]
B) \[\frac{2}{7}\]
C) \[\frac{3}{7}\]
D) None of these
Correct Answer: B
Solution :
The probability of husband is not selected\[=1-\frac{1}{7}=\frac{6}{7}\] The probability that wife is not selected \[=1-\frac{1}{5}=\frac{4}{5}\] The probability that only husband selected \[=\frac{1}{7}\times \frac{4}{5}=\frac{4}{35}\] The probability that only wife selected \[=\frac{1}{5}\times \frac{6}{7}=\frac{6}{35}\] Hence required probability\[=\frac{6}{35}+\frac{4}{35}=\frac{10}{35}=\frac{2}{7}\].
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