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A complete cycle of a traffic lights 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)
    1/3
  • b)
    1/4
  • c)
    5/12
  • d)
    7/12
Correct answer is option 'D'. Can you explain this answer?
Verified Answer
A complete cycle of a traffic lights takes 60 seconds. During each cyc...
probability that the light is not green=probablity that the light is green or red=(30 +5)/60=7/12
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Most Upvoted Answer
A complete cycle of a traffic lights takes 60 seconds. During each cyc...
Calculation:

Step 1: Calculate the probability of the light being green
Green light duration = 25 seconds
Total cycle duration = 60 seconds
Probability of green light = 25/60 = 5/12

Step 2: Calculate the probability of the light not being green
Probability of not green light = 1 - Probability of green light
Probability of not green light = 1 - 5/12
Probability of not green light = 7/12
Therefore, the probability that the light will not be green is 7/12, which is option 'D'.
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A complete cycle of a traffic lights 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)1/3b)1/4c)5/12d)7/12Correct answer is option 'D'. Can you explain this answer?
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