Question

A car dealer organizes the inventory of a specific model of car into a frequency table comparing the type of car and the model year. The dealer used the data from the frequency table to create this conditional relative frequency table by column.

Which is the best description of the 0.1 in the table?

Given that a car is a coupe, there is a 10% chance it is from the previous model year.
Given that a car is from the previous model year, there is a 10% chance that it is a coupe.
There is a 10% chance that the car is from the previous model year.
There is a 10% chance that the car is a coupe.

Answer 1

The answer is A) Given that a car is a coupe, there is a 10% chance it is from the previous model year.

Explanation:

Answer 2

Given that a car is a coupe, there is a 10% chance it is from the previous model year.

Explanation:

The consideration "Given that a car is from the previous model year, there is a 10% chance that it is a coupe." wouldn't give much information. Previous year models are 10% Coupe and 25% Sedan.

Same for consideration "There is a 10% chance that the car is from the previous model year." This consideration would be good if only a specific model would be taken.

Consideration "There is a 10% chance that the car is a coupe." makes no sense because, in order for this to be true, 90% of specific models would be a sedan which table clearly shows 25%.