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Probative is a term used in law to signify "tending to prove." Probative evidence "seeks the truth". Generally in law, evidence that is not probative (prejudicial evidence), or doesn't prove anything, is inadmissible and may be stricken from the record "if objected to by opposing counsel." A balancing test may come in to the picture if the value of the evidence needs to be weighed versus its prejudicial nature.