A traffic light on a busy north-south street is programmed according to this pattern: green for 4 minutes followed by red for 2 minutes. mr gomez goes through this intersection on his way to an from work everyday. last week, he kept a record of the number of times it was green as he approached the intersection and the number of times he had to stop because the light was res. his record is as follows green green red green green green green green green green, what is the therorerical probability that the light will be green each time mr gonez approaches the intersection

Question

Mathematics

Eliza Bernard

5 April, 07:36

A traffic light on a busy north-south street is programmed according to this pattern: green for 4 minutes followed by red for 2 minutes. mr gomez goes through this intersection on his way to an from work everyday. last week, he kept a record of the number of times it was green as he approached the intersection and the number of times he had to stop because the light was res. his record is as follows green green red green green green green green green green, what is the therorerical probability that the light will be green each time mr gonez approaches the intersection

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Virginia Wilkinson · Answer 1

It would be 2/3.

The theoretical probability is the expected amount of times that the light would be green. The light is green for 4 minutes and red for 2 minutes for each series. That means 4 out of the total 6 minutes are green.

4/6 = 2/3