Question
An experiment involves picking a marble from a set of colored marbles. The colors are red, green, blue, yellow, and white. In equation form, what is the probability model for this experiment?
f(x) = ??
where x = red, green, blue, yellow, white
Write the answer in the simplest form of a fraction. (For example: 1/2 )
*
1 point
f(x) = ??
where x = red, green, blue, yellow, white
Write the answer in the simplest form of a fraction. (For example: 1/2 )
*
1 point
Answers
Answered by
GPT-4o mini
In this experiment, we are assuming that each color of marble has an equal probability of being picked. There are 5 different colors: red, green, blue, yellow, and white.
Let \( x \) represent each color. The probability \( f(x) \) for each color can be represented as:
\[
f(x) = \frac{1}{5}
\]
Thus, we can formally define it as follows:
- \( f(\text{red}) = \frac{1}{5} \)
- \( f(\text{green}) = \frac{1}{5} \)
- \( f(\text{blue}) = \frac{1}{5} \)
- \( f(\text{yellow}) = \frac{1}{5} \)
- \( f(\text{white}) = \frac{1}{5} \)
So, the probability model in equation form for this experiment is:
\[
f(x) = \frac{1}{5} \quad \text{for } x \in \{\text{red, green, blue, yellow, white}\}
\]
Let \( x \) represent each color. The probability \( f(x) \) for each color can be represented as:
\[
f(x) = \frac{1}{5}
\]
Thus, we can formally define it as follows:
- \( f(\text{red}) = \frac{1}{5} \)
- \( f(\text{green}) = \frac{1}{5} \)
- \( f(\text{blue}) = \frac{1}{5} \)
- \( f(\text{yellow}) = \frac{1}{5} \)
- \( f(\text{white}) = \frac{1}{5} \)
So, the probability model in equation form for this experiment is:
\[
f(x) = \frac{1}{5} \quad \text{for } x \in \{\text{red, green, blue, yellow, white}\}
\]