As is currently interpreted, the stories are contradictory. That does not mean that the Bible is contradictory. Another interpretation could make it perfectly accurate history.
Take the Garden of Eden. Once one realizes that it is talking about the start of Agriculture, there is no contradiction. The plants created after Adam are only the plants of the field. All scientists would agree that domesticated plants were created after man, in fact by man. They did not exist when there was no man to till the soil. The plants were domesticated immediately after the Younger Dryas, when the rains finally returned.
The location is between the Tigris and Euphrates, in the zone where figs and wheat grows. There is only one mountain there, the volcano Karacadag. German scientists state that wheat was domesticated there, along with Chickpeas, lentils and sheep there or the immediate area.
Of course, either mankind was created there, or Gen 1 creation of man was in Kenya area, and was a completely different event. This is a reasonable interpretation also.
Other details, such as the talking serpent are also true, in that they are referring to religious beliefs of the time. The bible, linking the Serpent to Satan, is rejecting this other religious belief.
As it turns out, the story of Adam in the Garden is more accurate than even the fundamentalists teach.