Hello Daniel, We usually use ( Mumkin ) or ( Ihtimal ) احتمال ,(bejooz) بيجوز .I hope its helpful,all the best.

In MS you'd say "علي الأرجح" or less accurate "غالباً". Since the dialects usually oversimplify the language, the latter would be used most often (that's the case for Egyptian dialect, shouldn't be much different but I'm not 100% sure about Sham)

في الغالب أغلب الظن احتمال كبير

you can say "ihtemal" (احتمال )

Thank you