Used to express that something can happen or is within the realm of possibility. Often used in formal or written contexts. The more colloquial equivalent is ありえる.
See also: あり得る
そのようなことは十分にあり得る。
Such a thing is quite possible.
彼が失敗することもあり得る。
It is also possible that he will fail.
Standard kanji spelling for this expression.
Alternate kanji spelling using 有.
Compound of あり (continuative form of ある, 'to exist') and 得る (うる, 'to be able to'). Literally 'can exist', extended to mean 'possible'.