The probability of husband getting selected is 1/5 and the probability of wife getting selected is 1/7.Now, the converse of the statement that œany one of them getting selected is œnone of them getting selected \(\left( {1 - \frac{1}{5}} \right).\left( {1 - \frac{1}{7}} \right)\frac{4}{5}.\frac{6}{7} = \;\frac{{24}}{{35}}\)The probability of none them getting selected = (Probability of husband not getting selected). (Probability of wife not getting selected) = =Hence, the probability that any one of them getting selected = 1 - probability of none them getting selected = \(- \frac{{24}}{{35}} = \frac{{11}}{{35}}\)