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Family Physician, Internet Researcher
Category: General
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Experience:  Researching answers to questions online for 20+ years.
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# Math Question

### Customer Question

A traffic light is red for 30 seconds, yellow for 5 seconds, and green for 40 seconds. What is the probability that when you reach the light, the light is red, the light is yellow, the light is not red.

a. 0.4, 0.6, 0.07
b. 0.6, 0.93, 0.4
c. 1.4, 1.07, 1.6
d. 0.4, 0.07, 0.6
e. 1.6, 1.93, 1.4

Use a product table to determine the number of 3-digit numbers that can be written using digits from the set {1, 2, 3, 4}. (Hint: In this case the product table would have to be three-dimensional.)

a.64 possibilities b.none of these are correct c.32 possibilities d.27 possibilities e.9 possibilities

Submitted: 10 years ago.
Category: General
Expert:  Family Physician replied 10 years ago.
For the first question:

Red = 30 seconds
Yellow = 5 seconds
Green = 40 seconds

Total cycle time: 75 second
Red 30/75 = 0.4
Yellow 5/75 = 0.0666...
Green 40/75 = 0.533...

When rounded you get 0.4, 0.07 and 0.5 (This is NOT one of the answers...the closest of course is D)

The second question has a link to a graphic - I could not get the link to work. If you can upload the graphic again - we can proceed with the last question.

Customer: replied 10 years ago.

Use a product table to determine the number of 3-digit numbers that can be written using digits from the set {1, 2, 3, 4}. (Hint: In this case the product table would have to be three-dimensional.)

a. 64 possibilities
b. none of these are correct
c. 32 possibilities
d. 27 possibilities
e. 9 possibilities

Expert:  Family Physician replied 10 years ago.
GREAT...Thanks
You have 64 possibilities (assuming that you are allowed to use a digit more than once in each number such as 111 or 121:
This is calculated by multiplying the number of possible choices at each location (1st, 2nd and 3 digit) 4*4*4 = 4^3 = 64

Here are all the possibilities: Link