Question

36 points for answer

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

We know that “ 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 ”. In conclusion, there are 2*3*3=18 total possible outcomes.
Next,
If Zoe randomly chooses from the options, the probability that Zoe picks a blue hybrid car with an interior that is not leather which means that there are only 4 cars that meets the requirements
P(picking blue hybrid car that is not feather):
4/18 or 2/9
Next,
If Zoe randomly chooses from the options, the probability of Zoe picking an electric car in a color other than blue which means that there are only 6 cars that meets standard
P(picking an electric cars in a color other than blue)
6/18 or 1/3. Hope it help!

Answer 2

Probability helps us to know the chances of an event occurring. If Zoe randomly chooses from the options, the probability of Zoe picking an electric car in a colour other than blue is 1/3.

What is Probability?

Probability helps us to know the chances of an event occurring.

$\rm Probability=\dfrac{Desired\ Outcomes}{Total\ Number\ of\ outcomes\ possible}$

Given that the model comes in two versions, hybrid and electric. 3 types of exterior red, blue, or green. 3 types of interior fabric, leather, or vinyl. Therefore,

Total number of option that is available with Zoe = 2 × 3 × 3 = 18

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

Probability = 1/18

                  = 1/18

B.) The number of option for an electric car not in blue are 1 × 2 × 3 = 6.

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

Probability = 6/18 = 1/3

If Zoe randomly chooses from the options, the probability of Zoe picking an electric car in a colour other than blue is 1/3.

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