To determine the probability model for this experiment, we first identify the sample space, which consists of the cards: {2, 4, 6, 10}. There are 4 cards, and we assume that each card has an equal chance of being selected.
The probability of selecting any one card is given by the formula:
\[ P(x) = \frac{1}{\text{number of possible outcomes}} \]
Since there are 4 possible outcomes (cards), the probability of selecting each card is:
\[ P(x) = \frac{1}{4} \]
Now we can express this as a function \( f(x) \):
\[ f(x) = \begin{cases} \frac{1}{4} & \text{if } x = 2 \ \frac{1}{4} & \text{if } x = 4 \ \frac{1}{4} & \text{if } x = 6 \ \frac{1}{4} & \text{if } x = 10 \ 0 & \text{otherwise} \end{cases} \]
In summary, the probability model in equation form is:
\[ f(x) = \frac{1}{4} \text{ for } x \in {2, 4, 6, 10} \]