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)

Question

f(x)=
, where x=2, 4, 6, 10

Answer 1

To create a probability model for the experiment of picking a card from the number cards 2, 4, 6, and 10, we need to determine the probabilities associated with each card.

Since there are a total of 4 cards and we assume each card has an equal chance of being selected, the probability of selecting any one card is:

\[ P(X = x) = \frac{1}{4} \]

for each \(x\) in {2, 4, 6, 10}.

We can express this probability model in function form as:

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

This represents that the probability \(f(x)\) of picking each card (2, 4, 6, or 10) is \(\frac{1}{4}\).