Left panels: probability distribution of the time the embryo spends crossing the asteroid belt. The y-axis reports the fraction of the total number of simulations in which the cumulative time spent by the embryo on an orbit with Q > 2.1AU is in each of the time-intervals reported on the x-axis. Right panels: probability distribution of aphelion distances for embryos crossing the asteroid belt. Here the y-axis reports the fraction of the total time that the embryo crosses the belt spent on orbits with Q falling in each of the intervals reported on the x-axis. The plotted distribution is the average of the individual distributions of all simulated embryos. These individual distributions have been weighted by the total time the embryo crosses the belt. Panels in the top row correspond to initial embryo orbits with a ~ 1.7 AU and e ~ 0 while those in the bottom row pertain to orbits with a ~ 1.9 AU and e ~ 0.14.