What is the ruling on the profits offered by Abu Dhabi Islamic Bank, Egypt branch, on deposits and savings accounts, and how should one dispose of them if they are unlawful, knowing that the depositor was unaware of the possibility of there being any unlawful شبهة (doubt/suspicion) in these profits?

The basic ruling is that it is permissible to deal with Islamic banks, and it is lawful to benefit from the profits generated by such dealings, as long as it is not evident that its transactions violate Islamic law. The aforementioned bank strives to adhere to Sharia (definition) principles in its transactions.