Statistics And Probability Question 159

Question: 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

Options:

A) $ \frac{1}{3} $

B) $ \frac{1}{4} $

C) $ \frac{4}{3} $

D) $ \frac{7}{12} $

Show Answer

Answer:

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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