Q4

MCQ1 mark, −0.33

Consider a permutation sampled uniformly at random from the set of all permutations of $\{1,2,3, \cdots, n\}$ for some $n \geq 4$ . Let $X$ be the event that $1$ occurs before $2$ in the permutation, and $Y$ the event that $3$ occurs before $4$ . Which one of the following statements is TRUE?

(A)

The events $X$ and $Y$ are mutually exclusive

(B)

The events $X$ and $Y$ are independent

(C)

Either event $X$ or $Y$ must occur

(D)

Event $X$ is more likely than event $Y$

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