SOLUTION: Two persons A and B appeared in an interview for two vacancies for the same post. The probability of A’s selection is 1/7 and that of B is 1/5. What is the probability that i. Bo

Algebra ->  Probability-and-statistics -> SOLUTION: Two persons A and B appeared in an interview for two vacancies for the same post. The probability of A’s selection is 1/7 and that of B is 1/5. What is the probability that i. Bo      Log On


   

Question 302628: Two persons A and B appeared in an interview for two vacancies for the same post. The probability of A’s selection is 1/7 and that of B is 1/5. What is the probability that
i. Both of them are selected
ii. Only one of them is selected
Answer by stanbon(75887) About Me  (Show Source):
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Two persons A and B appeared in an interview for two vacancies for the same post. The probability of A’s selection is 1/7 and that of B is 1/5. What is the probability that
i. Both of them are selected
P(A and B) = (1/5)(1/7) = 1/35
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ii. Only one of them is selected
P(one selected) = 1 - [P(both selected) + P(neither is selected)]
= 1 - [1/35 + (4/5)(6/7)]
= 1 - [1/35 + 24/35]
= 1 - (5/7)
= 2/7
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Cheers,
Stan H.