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Probability of Mobile Launch

CMAT 2021 · Quantitative Techniques & Data Interpretation · Medium · Probability

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During the next year, the probability that a Company A releases a mobile is 0.7. The probability that mobile is a success, given that it is released by the Company A is 0.8. The probability that a mobile is a success and released by a Company B is 0.28. A mobile released by either Company A or Company B during the next one year is a success. Find the probability that it is released by Company A.

  1. A.

    1/3

  2. B.

    1/2

  3. C.

    2/3

  4. D.

    3/4

Answer

C

Explanation

P(Success and released by A)=0.7×0.8=0.56P(\text{Success and released by A}) = 0.7 \times 0.8 = 0.56. P(Success and released by B)=0.28P(\text{Success and released by B}) = 0.28. Total probability of success = 0.56+0.28=0.840.56 + 0.28 = 0.84. Given that the mobile is a success, the probability it was released by A is 0.560.84=23\frac{0.56}{0.84} = \frac{2}{3}.

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