Question: 2017 Fall Final - 16
You choose a uniformly random element, say $x$, from the set $\{1,2,3\}$, and you choose a uniformly
random element, say $y$, from the same set $\{1,2,3\}$. ($x$ and $y$ are chosen independently of
each other.) Define the events
- A = "$x$ is odd",
- B = "$x + y$ is odd".
(a)
The events $A$ and $B$ are not independent.
(b)
None of the above.
(c)
The events $A$ and $B$ are independent.