To create the probability model for the experiment of picking a card from the number cards 2, 4, 6, and 10, we start by identifying the total number of outcomes and the probability for each outcome.
- There are 4 cards to pick from: 2, 4, 6, and 10.
- Each card is equally likely to be picked, so the probability of picking each specific card is \( \frac{1}{4} \).
We express the probability model in the form you provided:
\[ f(x) = \frac{1}{4}, \text{ where } x = 2, 4, 6, 10 \]
So the answer is:
\[ f(x) = \frac{1}{4} \]