Question

QUESTION 1 ..... [20%] The breakdown of the cars in Apple Valley Honda according to color is
5% white, 27% black, 11% orange, 6% red and 5% for all others.
A car is randomly selected from the lot (to select “randomly” means that every car has the same
chance of being selected ). Find the probability (as a percentage) of the following events:
(a) The car is black
(b) The car is not white
(c) The car is not black

Answer 1

Solution:
Given in the question
The breakdown of the cars in Apple valley honda according to color is
P(White) = 5% or 0.05
P(Black) = 27% or 0.27
P(Orange) = 11% or 0.11
P(Red) = 6% or 0.06
P(Others) = 5% or 0.05
Solution(a)
We need to calculate the probability that the selected car is black
P(Black) = 0.27
So we can say that there is a 27% probability that a car is randomly selected is black from the lot.
Solution(b)
We need to calculate the probability that the car is not white
Total Probability = 1
P(Not white) = 1 - P(White)
P(White) = 0.05
P(Not white) = 1 - P(White) = 1 - 0.05 = 0.95
So there is a 95% probability that the randomly selected car is not white.
Solution(c)
We need to calculate the probability that the car is not Black
Total Probability = 1
P(Not black) = 1 - P(Black)
P(Black) = 0.27
P(Not Black) = 1 - P(black) = 1 - 0.27 = 0.73
So there is a 73% probability that the randomly selected car is not black.