Question: 2022 Winter Final - 22

Author: Michiel Smid

Let

D_{1}

and

D_{2}

be the result of tossing a

6

-sided die twice. Define the random variables

X = 2 \cdot D_{1}

and

Y = {\begin{cases} 1 & if D_{1} + D_{2} = 7 \\ 0 & otherwise. . \end{cases}

Which of the following is true?

(a)

None of the above

(b)

X

and

Y

are not independent

(c)

X

and

Y

are independent