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Arun and Ved appeared for an interview for two vacancies. The probability of Arun’s selection is 1/4 and that of Ved’s rejection is 2/3.

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Arun and Ved appeared for an interview for two vacancies. The probability of Arun’s selection is 1/4 and that of Ved’s rejection is 2/3. Find the probability that at least one of them will be selected. Select the correct answer from above options

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Consider A as the event ‘Arun is selected’ and B as the event ‘Ved is selected’ Here We know that P (atleast one of them getting selected) = P (selecting only Arun) + P (selecting only Ved) + P (selecting both) = P (A and not B) + P (B and not A) + P (A and B) So we get We get = 2/12 + 3/12 + 1/12 = 1/2 Hence, the probability that atleast one of them will get selected is 1/2.

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