to define a probability of association. In other words, we assign a dwarf a “probability of association” equal to the fraction of LMCa particles with $r_{100p}$ values greater than that computed using the dwarf’s position. Probabilities assigned in this manner are listed in Table \[tab:prob\] for all newly-discovered dwarfs’.

For dwarfs with measured radial velocities, we compute a further probability by comparing its radial velocity with that of the nearest $100$ LMCa particles. In practice, we use the mean and dispersion of those $100$ radial velocities to compute the probability that the observed velocity of the dwarf was drawn at random from that distribution, assuming Gaussian statistics. The probabilities listed in columns 10 and  11 of Table \[tab:prob\] are computed by multiplying this value by that estimated using the position alone (columns 8 and  9, respectively).

The results are shown in Table \[tab:prob\], where we list all “new dwarfs”, as well as their assigned probability, with and without velocity information. As discussed before, aside from the SMC, the procedure ranks Hor 1 as the best candidate for a true Magellanic satellite when considering satellites with or without radial velocities. Of systems without kinematic data, Hor 2, Eri 3 and Ret 