Problem

Interpret the results to understand traffic conditions:
The total time for a cycle is 60 seconds, and the light is not green for $(60-25)=35$ seconds. So, the probability that the light will not be green at a randomly chosen time is the proportion of time that the light is not green in the total cycle time. This is calculated as the time that the light is not green divided by the total cycle time.

Answer

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Answer

Final Answer: The probability that the light will not be green at a randomly chosen time is \(\boxed{0.583}\) or approximately 58.3%.

Steps

Step 1 :Given that the total time for a cycle is 60 seconds, and the light is not green for $(60-25)=35$ seconds.

Step 2 :We are asked to find the probability that the light will not be green at a randomly chosen time. This can be calculated by dividing the time that the light is not green by the total cycle time.

Step 3 :Let's denote the time that the light is not green as \(not\_green\_time\) and the total cycle time as \(total\_cycle\_time\).

Step 4 :So, \(not\_green\_time = 35\) and \(total\_cycle\_time = 60\).

Step 5 :The probability that the light will not be green at a randomly chosen time is calculated as \(probability\_not\_green = \frac{not\_green\_time}{total\_cycle\_time}\).

Step 6 :Substituting the given values, we get \(probability\_not\_green = \frac{35}{60} = 0.5833333333333334\).

Step 7 :Final Answer: The probability that the light will not be green at a randomly chosen time is \(\boxed{0.583}\) or approximately 58.3%.

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