$\text{Probability(selecting any vertex)} = p~,$
$\text{Probability(getting any particular edge)} = p^2, $
$\text{Probability(not getting any particular edge)} = (1-p^2)$,
$\text{as there are total} \textit{ m edges} \text{ in the Matching set} \textit{ M,}$
$\text{Probability(not getting any of these} \textit{ m edges}) = (1-p^2)^m$,
$\text{Probability(getting at-least 1 edge from M)}\\ \> = \text{1 – Probability(not getting any edge from M)} \\ \> = 1 – (1-p^2)^m$
Option B.