  We study various statistical properties of the double-dimer model, a
generalization of the dimer model, on rectangular domains of the square
lattice. We take advantage of the Grassmannian representation of the dimer
model, first to calculate the probability distribution of the number of
nontrivial loops around a cylinder, which is consistent with the previously
known result, and then to calculate the expectation value of the number of
loops surrounding two faces and the left-passage probability, both in the
discrete and the continuum cases. We also briefly explain the calculation of
some related observables. As a by-product, we obtain the partition function of
the dimer model in the presence of two and four monomers, and a single monomer
on the boundary.
