Adam & Eve in Christianity and Islam

Picture for illustrared only

For Christianity, based on the Genesis Chapter 2, 3, Christian believe;

1. Adam and Eve live together in Eden (Paradise)
2. God command them, there shall be a tree of life, that they shouldn't eat the fruit or touch it
3. Serpent make Eve feel desired to try the fruit
4. She did it, and she gave to Adam too
5. After they eat the fruits, they had  knowledge about good and evil, they also realise that they were naked
6. They quickly hid using leaves
7. Lord of God walking in the Garden and search for Adam
8. The God found that Adam and Eve realised that they were naked
9. God mad, they were sent to the earth, since that every human has original sin because of the Adam and Eve's did

For Islam, based on the Quran, Muslim believe;

1. Adam and Eve live in paradise 
2. They enjoy perfect freedom and happiness in paradise
3. The God allow them to eat what they desire but forbid them to eat one tree
4. God warn them if they did, they will be both of the wrongdoers
5. Satans came and deceive them, they did it
6. Adam and Eve felt shame, they turn to God in sincere repentance
7. God, The All-Forgiving, The Most Gracious, The Most Merciful, forgave them
8. Then, God removed Adam and Eve from Paradise and made them dwell on earth

Based on both story, most of the contents is exactly same. The story of Adam and Eve in Islam and Christianity. But they is slight difference which is in Christianity they believe the sin that Adam and Eve did become original sin. The 1st sin, and it was inherited to all human until they have faith what Jesus thought. However ini Islam, the God had forgave Adam and Eve, there is no original sin. They were sent to earth and learn from their mistake. The things is between these 2 identical stories, which one is the correct one? I may be know the answer, but the important things is you find the truth by your own. ^^