Question

Zoe is shopping for a new car and has to make some decisions. The model she’s chosen comes in two versions, hybrid and electric. For the exterior, she can choose red, blue, or green. For the interior, she can choose fabric, leather, or vinyl.

If Zoe randomly chooses from the options, the probability that Zoe picks a blue hybrid car with an interior that is not leather is
.

If Zoe randomly chooses from the options, the probability of Zoe picking an electric car in a color other than blue is

Answer 1

a) The probability is P = 1/9

b) The probability is P = 1/3.

How to get the probability?

First, we need to count the total number of outcomes (different cars that can be made with the given options):

• There are 2 versions (electric and hybrid).
• There are 3 exterior colors (red, blue, green).
• There are 3 interiors (fabric, leather, vinyl)

Then there are 2*3*3 = 18 different cars.

a) Picking a blue hybrid car with an interior that is not leather.

There are 2 cars that meet that condition:

• blue hybrid with fabric.
• blue hybrid with vinyl.

2 out of the 18 cars meet the condition, then the probability is:

P = 2/18 = 1/9

b) picking an electric car in a color other than blue is

The cars that meet the condition are:

• Green electric with any interior (3 options here)
• Red electric with any interior (3 options here)

So 6 out of the 18 cars meet the condition, then the probability is:

P = 6/18 = 1/3

If you want to learn more about probability.

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