  We introduce a ultradiscretization with parity variables of the
$q$-difference Painlev\'e VI system of equations. We show that ultradiscrete
limit of Riccati-type solutions of $q$-Painlev\'e VI satisfies the
ultradiscrete Painlev\'e VI system of equations with the parity variables,
which is valid by using the parity variables. We study some solutions of the
ultradiscrete Riccati-type equation and those of ultradiscrete Painlev\'e VI
equation.
