1 . Let $D_1,D_2,D_3$ be the result of rolling a normal $6$-sided die three times. Define the events
- $A = \max\{D_1,D_2,D_3\}=4$
- $B = D_1+D_2+D_3$ is an even number
(a)
$A$ and $B$ are independent
(b)
All of the above
(c)
$\Pr(A\mid B)$ is undefined
(d)
None of the above
(e)
$A$ and $B$ are not independent