JEE Main & Advanced Mathematics Probability Question Bank Self Evaluation Test - Probability-I

  • question_answer
    A complete cycle of a traffic light takes 60 seconds. During each cycle the light is green for 25 seconds, yellow for 5 seconds and red for 30 seconds. At a randomly chosen time, the probability that the light will not be green is

    A) \[\frac{1}{3}\]

    B) \[\frac{1}{4}\]

    C) \[\frac{4}{3}\]

    D) \[\frac{7}{12}\]

    Correct Answer: D

    Solution :

    [d] Total time of a cycle \[=60\sec \] Time of green light \[=25\sec \] \[\therefore \] Probability that light is green \[=\frac{25}{60}\] \[\therefore \] Probability that light will not be green \[1-\frac{25}{60}=\frac{7}{12}\]


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