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 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 . Reset Next

Answer 1

Answer:

• 1/9
• 1/3

Step-by-step explanation:

a) p(blue & hybrid & not-leather) = p(blue)×p(hybrid)×p(not leather)

  = (1/3)×(1/2)×(2/3) = 1/9

__

b) p(electric & not-blue) = p(electric)×p(not blue) = (1/2)(2/3) = 1/3

_____

Among a given set of choices, the probability of any one of them is 1 divided by the number of choices. The probability of that the choice is not one of those is the probability that it is, subtracted from 1.

Example: there are 3 colors, so p(green) = 1/3; p(not-green) = 1 -1/3 = 2/3.