The random variable is the square of the maximum minus the cube of the minimum. You roll three colored dice:
\begin{tabular}{|l|l|l|}
\hline 2 & 5 & 1 \\
\hline
\end{tabular}
Give the random variable.
\[
\text { r.v. }=
\]
Final Answer: The random variable is \(\boxed{24}\)
Step 1 :The random variable is defined as the square of the maximum value rolled minus the cube of the minimum value rolled.
Step 2 :In this case, we have three dice rolls with values 2, 5, and 1.
Step 3 :The maximum value rolled is 5 and the minimum value rolled is 1.
Step 4 :Therefore, the random variable can be calculated as the square of 5 minus the cube of 1.
Step 5 :Calculate the square of the maximum value: \(5^2 = 25\)
Step 6 :Calculate the cube of the minimum value: \(1^3 = 1\)
Step 7 :Subtract the cube of the minimum value from the square of the maximum value: \(25 - 1 = 24\)
Step 8 :Final Answer: The random variable is \(\boxed{24}\)