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1 . Let $n \geq 3$ be an integer. Consider a uniformly random permutation $a_1a_2 \dots a_n$ of the set $\{1,2,\dots,n\}$. Define the events
  • A = "$a_n = n$",
  • B = "$a_2 > a_1$".
Which of the following is true?
(a)
The events $A$ and $B$ are independent.
(b)
None of the above.
(c)
The events $A$ and $B$ are not independent.