Question

what if you encounter one traffic light on your commute to class each day. You have determined that the probability that this light will be red is 1/3. Which of the following is not a correct interpretation of this probability?

a.Each time you approach the light on your commute, the probability of it being red is 1/3.

b.The light will always be red one out of every three times that you encounter it.

c.In the long run, the light should be red about 33.33% of the time.

d.All of the above are correct interpretations.

Answer 1

solution:

the probability that the light wil be red when commute to class = 1/3

for a) each time you approach the light on your commute the probabilty of being it red is 1/3

this is correct interpretation because the probability of light red = 1/3 given

for b) the lilght will always be red one ut of every three times that you encounter it

because it is the probability or chance of happening of light red on a given day

so it does not reveal the actual happenning of the event that light always be red on 1 out of three days. it may not be red on 1 out of 3 days in actual

so it is a wrong interpretation of the given probability.

c) in the logn run also it can be said that about 33.33% of the time light willbe red when commute to class

so the wrong inteer pretation is

B) the lilght will always be red one ut of every three times that you encounter it.