This paper offers an explanation for the evolution of wage inequality withi
n and between industries and education groups over the past several decades
. The model is based on the disproportionate depreciation of technology-spe
cific skills versus general skills due to technological progress, which occ
urs randomly across sectors. Consistent with empirical evidence, the model
predicts that increasing randomness is the primary source of inequality gro
wth within uneducated workers, whereas inequality growth within educated wo
rkers is determined more by changes in the composition and return to abilit
y. Increasing randomness generates a "precautionary" demand for education,
which we show empirically to be significant.