Question

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 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:

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