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What is the probability of an event that is impossible?
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By definition a probability measure assigns 0 to the impossible event (the empty set). Note: in continuous models some non‑empty events (e.g., picking exactly 0.5 from Uniform(0,1)) also have probability 0, but those are not the same as the logically impossible event.
By definition a probability measure assigns 0 to the impossible event (the empty set). Note: in continuous models some non‑empty events (e.g., picking exactly 0.5 from Uniform(0,1)) also have probability 0, but those are not the same as the logically impossible event.
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