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1 . Let $X$ and $Y$ be the results of rolling two $4$-sided dice and let $Z=\max\{X,Y\}$. What is $ E(Z)$?

(a)

$7/2=3.5$

(b)

$25/8=3.125$

(c)

$13/4=3.25$

(d)

$3$

(e)

$5/2=2.5$