Allow me to submit a caveat. Even though Christ died for the sins of all Humanity, there is a prerequisite to reaping the benefits of His sacrifice. That would be, one must first hear the Gospel and place their faith in Christ as their Savior. If one dies, after a lifetime of rejecting the Gospel; I believe their sins still are with them, even though God will judge them by their WORKS and not their sins at the final judgment. In that respect, they will be eligible to be cast into the "Lake of Fire" to suffer for eternity.
In conclusion, Christ died for the sins of ALL of humanity, therefore, forgiveness of ALL sins is available to ALL of humanity. However, not all will accept God's free gift made possible by the death and resurrection of Jesus Christ. Hence, they will be cast into the "Lake of Fire" to suffer throughout eternity.