1 .
Consider a uniformly random permutation $a_1,a_2,a_3,a_4,a_5$ of the set $\{1,2,3,4,5\}$.
Consider the events
- A = "$a_1$ is odd",
- B = "$a_5$ is even".
(a)
The events $A$ and $B$ are independent.
(b)
None of the above.
(c)
The events $A$ and $B$ are not independent.
(d)
All of the above.