Because of the Fall of Adam and Eve, all people live in a fallen condition, separated from God and subject to physical death. However, we are not condemned by what many call the "original sin." In other words, we are not accountable for Adam's transgression in the Garden of Eden. The Prophet Joseph Smith said, "We believe that men will be punished for their own sins, and not for Adam's transgression" (Articles of Faith 1:2).
Through the Atonement, the Savior paid the price for the transgression in the Garden of Eden (see Moses 6:53). He has given us the assurance of resurrection and the promise that, based on our faithfulness, we can return to dwell in the presence of our Heavenly Father forever.