If each component fails probabilistic thresholds individually, combining them may violate probabilistic principles and constitute logical sleight-of-hand rather than valid inference.

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logical sleight-of-hand(as used in philosophy and critical thinking): A trick in reasoning where something looks like a valid argument on the surface but actually breaks the rules of logic, similar to a magician's sleight-of-hand that fools the eye.
probabilistic principles(as used in mathematics and logic): The basic rules that govern how probabilities and chances work together—like the idea that combining unlikely things should make the overall outcome even less likely, not more likely.
probabilistic thresholds(as used in logic and reasoning): Minimum standards or cutoff points for how confident we should be that something is true based on probability or chance. If something doesn't meet the threshold, we shouldn't rely on it.
valid inference(Used within informal logic's definition of a good argument): A conclusion that follows from the premises

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