FIG. 1 is a top plan view of the housing for an electronic game apparatus, showing my new design.

FIG. 2 is a front elevation thereof.

FIG. 3 is a rear elevation thereof.

FIG. 4 is a right side thereof.

FIG. 5 is a left side thereof.

FIG. 6 is a bottom view thereof.

FIG. 7 is left side perspective view thereof.

FIG. 8 is a top, right, rear perspective view thereof.

FIG. 9 is a bottom rear perspective view thereof; and,

FIG. 10 is a bottom, right, rear perspective view thereof.

The broken lines are for illustrative purpose only and form no part of the claimed design.