Question

An experiment involves picking a card from the number cards 2, 4, 6, 10
. In equation form. What is the probability model for this experiment? Write your answer in the simplest form of a fraction.(1 point)
f(x)=

, where x=2, 4, 6, 10

Answer 1

To find the probability model for the experiment of picking a card from the number cards 2, 4, 6, and 10, we first need to determine the total number of possible outcomes. In this case, there are 4 cards: 2, 4, 6, and 10.

Since each card has an equal chance of being picked, the probability of selecting each card can be calculated as follows:

\[
P(x) = \frac{1}{\text{Total number of outcomes}} = \frac{1}{4}
\]

Thus, for the probability model, we can define the function \(f(x)\) as follows:

\[
f(x) =
\begin{cases}
\frac{1}{4} & \text{if } x = 2 \\
\frac{1}{4} & \text{if } x = 4 \\
\frac{1}{4} & \text{if } x = 6 \\
\frac{1}{4} & \text{if } x = 10 \\
0 & \text{otherwise}
\end{cases}
\]

In simpler form, we can represent this as:

\[
f(x) = \frac{1}{4} \text{ for } x \in \{2, 4, 6, 10\}
\]

So, the final answer is:

- **Probability model**: \(f(x) = \frac{1}{4}\) for \(x = 2, 4, 6, 10\).