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.
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

Explanation:

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

The probability of picking a hybrid car is \( \frac{1}{2} \) (since there are 2 versions: hybrid and electric). The probability of picking a blue exterior is \( \frac{1}{3} \) (3 colors: red, blue, green). The probability of picking a non - leather interior is \( \frac{2}{3} \) (3 interior materials: fabric, leather, vinyl).
Using the multiplication rule for independent events \( P(A\cap B\cap C)=P(A)\times P(B)\times P(C) \), we have \( \frac{1}{2}\times\frac{1}{3}\times\frac{2}{3}=\frac{1\times1\times2}{2\times3\times3}=\frac{1}{9} \)

Step2: Calculate the probability of picking an electric car with a color other than blue

The probability of picking an electric car is \( \frac{1}{2} \). The probability of picking a color other than blue is \( \frac{2}{3} \) (since there are 3 colors and 2 are non - blue).
Using the multiplication rule for independent events \( P(A\cap B) = P(A)\times P(B)\), we have \( \frac{1}{2}\times\frac{2}{3}=\frac{1\times2}{2\times3}=\frac{1}{3} \)

Answer:

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