AP EAMCET · Maths · Probability
The probability that a person A completes a work in a given time is \(\frac{2}{3}\) and the probability that another person B completes the same work in the same time is \(\frac{3}{4}\). If both A and B start doing this work at the same time, then the probability that the work is completed in the given time is
- A \(\frac{11}{12}\)
- B \(\frac{1}{2}\)
- C \(\frac{5}{12}\)
- D \(\frac{8}{9}\)
Answer & Solution
Correct Answer
(A) \(\frac{11}{12}\)
Step-by-step Solution
Detailed explanation
\(P(A') = 1 - \frac{2}{3} = \frac{1}{3}\) \(P(B') = 1 - \frac{3}{4} = \frac{1}{4}\) \(P(\text{work not completed}) = P(A') \cdot P(B') = \frac{1}{3} \cdot \frac{1}{4} = \frac{1}{12}\)…
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