Question

q 21.) eddies used autos has cars available with the combinations of colors, engines, and transmissions indicated in the following tree - diagram. what is the probability of choosing a blue car with an automatic transmission? express your answer as a percent.
answer

Explanation:

Step1: Count total combinations

There are 2 colors (blue and red), 2 engine - types (6 - cylinder and 4 - cylinder) and 2 transmission - types (automatic and manual). So the total number of combinations is $2\times2\times2=8$.

Step2: Count blue car with automatic transmission combinations

For a blue car, there are 2 engine - types (6 - cylinder and 4 - cylinder) and 1 desired transmission type (automatic). So the number of blue car with automatic transmission combinations is $1\times2\times1 = 2$.

Step3: Calculate probability

The probability $P$ is the number of favorable outcomes divided by the total number of outcomes. So $P=\frac{2}{8}=0.25$.

Step4: Convert to percentage

To convert the probability to a percentage, we multiply by 100. So $0.25\times100 = 25\%$.

Answer:

25%