Arithmetic Ability
 Probability

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Q.

Ajay and his wife Reshmi appear in an interview for two vaccancies in the same post. The Probability of Ajay's selection is 1/7 and that of his wife Reshmi's selection is 1/5. What is the probability that only one of them will be selected?

View Answer

Correct choice: C

Explanation:

P( only one of them will be selected) = p[(E and not F) or (F and not E)] = P[(E∩F)∪(F∩E)] = P(E)P(F)+P(F)P(E) =1/7×4/5+1/5×6/7=2/7
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