Problem
Why is the following not a probability model? Click the icon to view the data table. Determine why it is not a probability model. Choose the correct answer below. A. This is not a probability model because at least one probability is greater than 1. B. This is not a probability model because the sum of the probabilities is not 1 . C. This is not a probability model because at least one probability is less than 0 . D. This is not a probability model because at least one probability is greater than 0 . More Info $\begin{array}{lr}\text { Color } & \text { Probability } \\ \text { Red } & 0.2 \\ \text { Green } & -0.4 \\ \text { Blue } & 0.2 \\ \text { Brown } & 0.4 \\ \text { Yellow } & 0.3 \\ \text { Orange } & 0.3\end{array}$
Solution
Step 1 ：Given the data table: $\begin{array}{lr}\text { Color } & \text { Probability } \ \text { Red } & 0.2 \ \text { Green } & -0.4 \ \text { Blue } & 0.2 \ \text { Brown } & 0.4 \ \text { Yellow } & 0.3 \ \text { Orange } & 0.3\end{array}$
Step 2 ：We can see that the probability of 'Green' is -0.4, which is less than 0.
Step 3 ：In a probability model, all probabilities must be between 0 and 1, inclusive.
Step 4 ：Therefore, this is not a probability model because at least one probability is less than 0.
Step 5 ：Final Answer: \(\boxed{\text{C. This is not a probability model because at least one probability is less than 0.}}\)
