The dependence of the electrical conductivity of nondegenerate, dense plasmas on the nonideality parameter, gamma =Ze²n¹3//KT (ratio of coulomb interaction and thermal energies), is derived by a dimensional analysis of the probabilities for nu -body interactions ( nu =2, 3, 4,...) of the electrons. As an application, the dimensionless probability coefficients for binary and triple coulomb interactions are calculated by means of simple physical models, and a conductivity formula for moderately nonideal plasmas (0< gamma <1) is derived in which all parameters are known. The theory is shown to agree with recent experimental data.