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Taken literally, saying that there is a "possibility" of infection tells me nothing. The probability could be 1/1,000,000,000,000 and it would still be technically correct to describe the outcome as "possible".

Words in natural language carry connotations that may become misleading when the words get applied with technical precision. While it's not technically a lie to say that it's possible to win a lottery, the statement is deceptive. It's much more precise, for communication of the actual fact through connotation, to say that it's impossible to win the lottery. This is an example of antiprediction.

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