I have that $P(a < X_n | F_n) >p$, if I want to find $P(a > X_n | F_n)$, can I just reverse the (direction) probability and does $P(a>X_n | F_n) < 1-p$ or $P(a>X_n | F_n) > 1-p$? Note, $F_n$ is a filtration.
Also, if $P(a < X_n | F_n) >p$, can I say that $P(a < X_{cn} | F_{cn}) >p$ for a constant $c$?