This study examined how pigeons discriminate the relative frequencies of ev
ents when the events occur serially. In a discrete-trials procedure, 6 pige
ons were shown one light nf times and then another nl times. Next, they rec
eived food for choosing the light that had occurred the least number of tim
es during the sample. At issue were (a) how the discrimination was related
to two variables, the difference between the frequencies of the two lights,
D = nf - nl, and the total number of lights in the sample, T = nf + nl; an
d (b) whether a simple mathematical model of the discrimination process cou
ld account for the data. In contrast with models that assume that pigeons c
ount the stimulus lights, engage in mental arithmetic on numerons, or remem
ber the number of stimuli, the present model assumed only that the influenc
e of a sample stimulus on choice increases linearly when the stimulus is pr
esented, but decays exponentially when the stimulus is absent. The results
showed that, overall, the pigeons discriminated the relative frequencies we
ll. Their accuracy always increased with the absolute value of the differen
ce D and, for D > 0, it decreased with T: Performance also showed clear rec
ency primary and contextual effects. The model accounted well for the major
trends in the data.