We use deep near-infrared and submillimeter observations of three massive lensing cluster fields , A370 , A851 , and A2390 , to determine the average submillimeter properties of a K ^ { \prime } -selected sample . The 38 Extremely Red Objects ( EROs ; I - K ^ { \prime } > 4 ) with K ^ { \prime } < 21.25 have a very significant error-weighted mean 850 \mu m flux of 1.58 \pm 0.13 mJy . The ERO contribution to the 850 \mu m background is 1.88 \pm 0.16 \times 10 ^ { 4 } mJy deg ^ { -2 } , or about half the background light . The 17 Very Red Objects ( VROs ; 3.5 < I - K ^ { \prime } < 4 ) are also significantly detected ( 1.32 \pm 0.19 mJy ) , bringing the combined VRO and ERO contribution to 2.59 \pm 0.19 \times 10 ^ { 4 } mJy deg ^ { -2 } . There is a substantial systematic uncertainty ( about a factor of two ) in this value due to field-to-field variation , but even with this uncertainty it is clear that a large fraction of the 850 \mu m background arises from red objects . An analysis of the VRO and ERO number counts shows that half of the population ’ s 850 \mu m light arises in objects with demagnified magnitudes K ^ { \prime } < 20 and half in fainter objects . On the basis of the I - J versus J - K ^ { \prime } colors of the galaxies , the bulk of the submillimeter signal appears to arise from the dusty starburst galaxies in the red object population rather than from the high-redshift elliptical galaxies .