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A husband and wife appear in an interview for two vacancies for same post The. probability of husband getting selected is 1 /5  while the probability of wife getting selected is 1/7. Then the probability that anyone of them getting selected is

a) 1 /35

b) 11/35

c) 12/35

d) 34/35
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Husband can be selected and not wife, wife can be selected and not husband and both can also be selected so

(1/7)(1/5) + (1/7)(1 - 1/5) + (1/5)(1 - 1/7) = 11/35 (Option B)

Or simply 1-P(no one gets selected kf the couple) =1- (4/5)(6/7) = 11/35
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