EV(two-boxing) \= c($1m in Opaque Box | I two-box)v($1m in Opaque Box & I two-box) + c($0 in Opaque Box | I two-box)v($0 in Opaque Box & I two-box) \= (.01)($1,000,000 + $10,000) + (.99)($0 + $10,000) \= (.01)($1,010,000) + (.99) ($10,000) \= $10,100 + $9900 \= $20,000