Question

type the correct answer in each box. use numerals instead of words. if necessary, use / for the fraction bar.
zoe is shopping for a new car and has to make some decisions. the model shes 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.
it zoe randomly chooses from the options, the probability that zoe picks a blue hybrid car with an interior that is not leather is
it zoe randomly chooses from the options, the probability of zoe picking an electric car in a color other than blue is

Explanation:

Step1: Calculate the probability of picking a blue hybrid car with non - leather interior

The total number of exterior color options is \(3\) (red, blue, green), the total number of interior options is \(3\) (fabric, leather, vinyl), and the total number of car type options is \(2\) (hybrid, electric). So the total number of combinations is \(3\times3\times2=18\).
The number of blue hybrid cars with non - leather interior: For a blue hybrid car (1 color option for blue, 1 type option for hybrid), and non - leather interior (2 options: fabric and vinyl). So there are \(1\times2\times1 = 2\) combinations.
The probability \(P_1=\frac{2}{18}=\frac{1}{9}\)

Step2: Calculate the probability of picking a non - blue electric car

The number of non - blue exterior colors is \(2\) (red and green), the number of interior options is \(3\) (fabric, leather, vinyl), and the number of electric car type is \(1\). So the number of non - blue electric cars is \(2\times3\times1=6\)
The probability \(P_2=\frac{6}{18}=\frac{1}{3}\)

Answer:

\(\frac{1}{9}\), \(\frac{1}{3}\)