Question

2. Red light: Pedro drives the same route to work on Monday through Friday. His route includes one traffic light.

According to the local traffic department, there is a 55% chance that the light will be red. Explain what this

probability means.

Answer 1

Answer:

So, the probability is P=0.018.

Step-by-step explanation:

We know that Pedro drives the same route to work on Monday through Friday.  

We know that  there is a 55% chance that the light will be red.  

We get that p=55%=0.55.

We conclude that the probability of not being a red light:

q=1-p=1-0.55=0.45.

We can calculate the probability that from Monday to Friday when Pedro goes to work there will be no red light, as follows:

$P=q^5\\\\P=0.45^5\\\\P=0.018$

So, the probability is P=0.018.

Answer 2

Answer:

The probability of light being not red will be 0.018.

Step-by-step explanation:

Given information

Pedro drives the same route to work and only he faces one traffic light on his route.

Chances of light being red = 55%

Therefore,

Probability of light being red $p= 0.55$

So, the probability that light is not red $(q)$

$q=1-p\\q=1-0.55\\q=0.45$

Now, if we calculate the probability of light being not red for all 5 day from Monday to Friday

$q'=q^{5} \\q'=0.45^5\\q'=0.018$

So we can conclude that the probability of light being not red will be 0.018.

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