New techniques are presented for using a laser microprobe to determine the spallation argon systematics of calcium-aluminum inclusions. The 38Ars amounts determined for melilite and anorthite in a coarse-grained inclusion from Allende are 2.9¿10-8 and 1.3¿10-8 cc/g, respectively. The ratio of the amounts is consistent with the calcium contents of these two minerals. The 38Ars amount determined for a fine-grained inclusion from Allende is 1.1¿10-8 cc/g. Calcium and potassium amounts were determined from irradiated samples of the same inclusions so that production of 38Ar from calcium during the cosmic ray exposure of Allende could be determined for these samples. The production observed was 12.4¿2.1¿10-8 ccSTP 38Ar/g Ca for the coarse-grained inclusion and 9.9¿2.4 ccSTP 38Ar/g Ca for the fine-grained inclusion. No evidence of unusual exposure was observed in the two inclusions studied.