To construct a probability model for an experiment where you are picking a card from a selection of cards numbered 5, 10, and 15, we first need to identify the possible outcomes and their corresponding probabilities.
-
Possible Outcomes (Values of x): The values of x in this case are the numbers on the cards. In ascending order, the values of x are:
- 5
- 10
- 15
So, we can write: \[ x = 5, 10, 15 \]
-
Probability Model: If we assume that each card is equally likely to be picked, then the probability \(f(x)\) for picking each card can be represented as follows:
The total number of outcomes is 3 (one for each card), so the probability of picking each card is: \[ f(5) = \frac{1}{3}, \quad f(10) = \frac{1}{3}, \quad f(15) = \frac{1}{3} \]
Thus, we can express the probability model as: \[ f(x) = \frac{1}{3} \quad \text{for } x = 5, 10, 15 \]
In summary, the probability model can be expressed in equation form as: \[ f(x) = \frac{1}{3} \quad \text{for } x = 5, 10, 15 \]
Values of \(x\) in ascending order are: \[ x = 5, 10, 15 \]