Question: 2022 Winter Final - 21
Let $D_1$ and $D_2$ be the result of tossing a $6$-sided die twice. Define the random variables
\[ X=\max\{D_1,D_2\} \]
and
\[ Y=D_1+D_2 \enspace . \]
Which of the following is true?
(a)
$X$ and $Y$ are not independent
(b)
$X$ and $Y$ are independent
(c)
None of the above