Question:
The probability that a person A completes a work in a given time is \( \dfrac{2}{3} \), and the probability that another person B completes the same work in the same time is \( \dfrac{3}{4} \). 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:
The probability that a person A completes a work in a given time is \( \dfrac{2}{3} \), and the probability that another person B completes the same work in the same time is \( \dfrac{3}{4} \). 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:
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When events are independent, use \( P(A \cup B) = 1 - P(A' \cap B') \). Here, it helps to subtract the probability that both fail from 1.
Updated On: Jun 4, 2025
- \( \dfrac{11}{12} \)
- \( \dfrac{1}{2} \)
- \( \dfrac{5}{12} \)
- \( \dfrac{8}{9} \)
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The Correct Option is A
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