QUESTION IMAGE
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
Step1: Calculate total possible outcomes
Total versions (2) × total exteriors (3) × total interiors (3) = $2 \times 3 \times 3 = 18$
Step2: Find favorable outcomes for first probability
Favorable: hybrid (1) + blue (1) + non-leather (2) = $1 \times 1 \times 2 = 2$
Step3: Compute first probability
$\text{Probability}_1 = \frac{\text{Favorable}_1}{\text{Total}} = \frac{2}{18} = \frac{1}{9}$
Step4: Find favorable outcomes for second probability
Favorable: electric (1) + non-blue (2) + any interior (3) = $1 \times 2 \times 3 = 6$
Step5: Compute second probability
$\text{Probability}_2 = \frac{\text{Favorable}_2}{\text{Total}} = \frac{6}{18} = \frac{1}{3}$
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First blank: $\frac{1}{9}$
Second blank: $\frac{1}{3}$