pre·pon·der·ance of the evidence /pri-'pän-də-rəns-/: the standard of proof in most civil cases in which the party bearing the burden of proof must present evidence which is more credible and convincing than that presented by the other party or which shows that the fact to be proven is more probable than not; also: the evidence meeting this standard
plaintiffs must show by a preponderance of the evidence that defendant's negligence proximately caused the injuries compare clear and convincing, reasonable doubt
Merriam-Webster’s Dictionary of Law. Merriam-Webster. 1996.