The authors examined some of the sensorimotor effects of the split-brain operation to understand how a "dual mind" can produce unified behavior. They report psychophysical evidence of extinction to bilateral simultaneous stimulation in callosotomy patient J.W.: Although he could verbally report the occurrence of a unilateral left or right visual field target, left field report accuracy dropped by 34% when targets occurred bilaterally. Paradoxically, the same stimulus conditions produced abnormally robust redundant signal effects on simple manual and vocal reaction times, which exceeded predictions that were based on probability summation. Neural summation is often inferred from redundancy gain of this magnitude. Because this seems less likely after callosotomy, the authors suggest a model that is based on response competition between the disconnected hemispheres to account for J.W.'s redundant target effects. The dissociation between explicit report and motor performance is discussed.