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A man and his wife appear in an interview for two vacancies in the same post. The probability of husband's selection is (2/7) and the probability of wife's selection is (3/5). What is the probability that only one of them is selected?

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Detailed Solution

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Calculation:

The probability of man gets select = 

The probability of man does not get select =  = 

The probability of woman gets select = 

The probability of woman does not get select =  = 

The probability that only one gets to select (P):

= [Man gets selected × woman does not get select + Man does not get select × woman get selected]

=  

P =  = 

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