To solve this question, let’s analyze the data from the table.

The table provides counts for vehicles categorized by type (Truck or Car) and color (Red or Black):

From this table:

• There are 30 cars, with 20 of them being black.
• There are 15 trucks, with 10 of them being black.

Step-by-Step Analysis

1. Calculate the Probability of a Car Being Black:

   • There are 20 black cars out of a total of 30 cars.
   • Probability of a car being black: $\frac{20}{30} = \frac{2}{3} \approx 66.7\%$.

2. Calculate the Probability of a Truck Being Black:

   • There are 10 black trucks out of a total of 15 trucks.
   • Probability of a truck being black: $\frac{10}{15} = \frac{2}{3} \approx 66.7\%$.

Conclusion

Both cars and trucks have the same probability (66.7%) of being black. This suggests there is no association between vehicle type and color, as the likelihood of a vehicle being black is independent of whether it is a car or a truck.

Answer for the Sentence

To complete the sentence:

"A car is not more likely to be black than a truck is because there is no association between the type of vehicle and its color."

Would you like further details on probability calculations or associations in statistics?

Here are some additional related questions:

1. What would it mean if there was a positive association in this table?
2. How could we test for statistical significance in associations like these?
3. Can we calculate the probability of selecting a red vehicle at random?
4. How would the table change if there was a negative association between color and vehicle type?
5. What is the total probability of selecting either a truck or car that is red?

Tip: When analyzing tables, always compare probabilities to determine if associations exist between variables.