Practice By Tag: Independent Random Variables

Question: 2022 Winter Final - 21

1 . 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)

None of the above

(b)

$X$ and $Y$ are independent

(c)

$X$ and $Y$ are not independent