We compute individual distributions of low-lying eigenvalues of massive<br />
chiral random matrix ensembles by the Nystr\&quot;om-type quadrature method for<br />
evaluating the Fredholm determinant and Pfaffian that represent the analytic<br />
continuation of the Janossy densities (conditional gap probabilities). A<br />
compact formula for individual eigenvalue distributions suited for precise<br />
numerical evaluation by the Nystr\&quot;om-type method is obtained in an explicit<br />
form, and the $k^{\rm{\small th } }$ smallest eigenvalue distributions are<br />
numerically evaluated for chiral unitary and symplectic ensembles in the<br />
microscopic limit. As an application of our result, the low-lying Dirac spectra<br />
of the SU(2) lattice gauge theory with $N_F=8$ staggered flavors are fitted to<br />
the numerical prediction from the chiral symplectic ensemble, leading to a<br />
precise determination of the chiral condensateof a two-color QCD-like system in<br />
the future.