Question: 2019 Winter Final - 15
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)
None of the above.
(b)
The events $A$ and $B$ are not independent.
(c)
All of the above.
(d)
The events $A$ and $B$ are independent.