AppliedMultiple choice

Let $X$ and $Y$ be two independent fair $d6$ rolls. Rank these expected values from smallest to largest: $\mathbb{E}[XY]$ , the expected product of the two rolls, and $\mathbb{E}[X^2]$ , the expected square of one roll.

AThey are equal
B $\mathbb{E}[XY]$ , then $\mathbb{E}[X^2]$
C $\mathbb{E}[X^2]$ , then $\mathbb{E}[XY]$
DIt depends on the dice

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Linearity of expectation

Let XXX and YYY be two independent fair d6d6d6 rolls. Rank these expected values from smallest to largest: E[XY]\mathbb{E}[XY]E[XY], the expected product of the two rolls, and E[X2]\mathbb{E}[X^2]E[X2], the expected square of one roll.

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Let $X$ and $Y$ be two independent fair $d6$ rolls. Rank these expected values from smallest to largest: $\mathbb{E}[XY]$ , the expected product of the two rolls, and $\mathbb{E}[X^2]$ , the expected square of one roll.