A cab was involved in a hit and run accident at night. You are given the…

GATE · 2018 · EC · General Aptitude

A cab was involved in a hit and run accident at night. You are given the following data about the cabs in the city and the accident.

(i) 85% of cabs in the city are green and the remaining cabs are blue.

(ii) A witness identified the cab involved in the accident as blue.

(iii) It is known that a witness can correctly identify the cab colour only 80% of the time.

Which of the following options is closest to the probability that the accident was caused by a blue cab?

  1. A.

    12%

  2. B.

    15%

  3. C.

    41%

  4. D.

    80%

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