Anita and amy appeared for the same interview. depending on their qualifications, the probability that anita will be selected is 5/7 and the probability that amy will be selected is 2/5 .
what is the probability that neither of them is selected is :
and the probability that at least one of them is selected is:

P(Anita not selected) = 2/7  and P(Amy not selected) = 3/5)

P(neither selected) = 2/7 * 3/5 = 6/35

P at least one is selected  =  (5/7 * 2/5) + (5/7 * 3/5) + 2/7*2/5)
                                         =   10/35 + 15/35 + 4/35 =  29/35

Oh it would have been easier to  use  1 - (neither selected ) = 1 - 6/35
 = 29/35