A traffic light is green for 40 seconds, yellow for 5 seconds, and red for 35 seconds in a cycle. If a car arrives at the intersection and the light is not red, what is the probability that the light is green?
Options
A
1/9
B
1/2
C
7/9
D
8/9
Answer & Analysis
Answer
D
Analysis
Question Analysis
This question involves conditional probability in the context of traffic light timings.
The main focus is on determining the probability of an event (the light being green) given that another event (the light not being red) has occurred.
Key Concept Explanation
First, we need to find the total time when the light is not red, which becomes the new sample space for calculating the conditional probability.
Then we use the ratio of the time the light is green within this new sample space to find the probability.
Step-by-Step Solution
The total time when the light is not red is seconds (green time + yellow time).
The time the light is green is 40 seconds.
So the probability that the light is green given that it is not red is
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