Back

Question: 2022 Winter Final - 16

Author: Michiel Smid
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
Which of the following is true?
(a)
All of the above
(b)
$A$ and $B$ are not independent
(c)
None of the above
(d)
$A$ and $B$ are independent
(e)
$\Pr(A\mid B)$ is undefined