Noun
balance of probabilities (plural balances of probabilities)
(law) A legal standard, applied in many jurisdictions for deciding the outcome of civil disputes, which requires that a dispute be decided in favor of the party whose claims are more likely to be true.
A fiduciary duty to one's brothers is not something that need bind the hand of any man if he can satisfy the Court on the balance of probabilities that, through his actions, he would get some. Alfred Denning, Baron Denning