Question

There is a traffic light at the intersection of walnut street and Lawrence avenue. The traffic light in walnut street follows a cycle. It is green for 50 seconds, yellow for 10 seconds, and red for 30 seconds, as you travel along walnut and approach the intersection, what is the probability that the first color you see is red?

Answer 1

Answer: The probability that the first color we see is red is 0.34.

Step-by-step explanation:

Since we have given that

Time taken by green color on the traffic light = 50 seconds

Time taken by yellow color on the traffic light = 10 seconds

Time taken by red color on the traffic light = 30 seconds

Total number of seconds = 50+10+30=90

So, Probability that the first color we see is red is given by

$\dfrac{\text{Time alloted for red color}}{\text{Total number of seconds}}\\\\=\dfrac{30}{90}\\\\=\dfrac{1}{3}\\\\=0.3333...\\\\\approx 0.34$

Hence, the probability that the first color we see is red is 0.34.

Answer 2

P(R)=30/(30+10+50)

P(R)=30/90

P(R)=1/3