Moses and Exodus 4

After Moses was born in Egypt, he was placed in a small basket, (or "ark") by his mother and placed in the Nile. She was trying to save him from the edict of Pharaoh which ruled that all male babies born to Israelite mothers should be drowned. How was Moses' ark similar to Noah's ark? Eventually, Moses was rescued by Pharaoh's daughter who snatched him out of the river. Did Moses' mother intend for him to be found by Pharaoh's daughter, or was it just a "God thing," or both?