Double counting (fallacy)

An example of double counting is shown starting with the question: What is the probability of seeing at least one 5 when throwing a pair of dice?However, the correct answer is 11/36, because the erroneous argument has double-counted the event where both dice show 5s.Double counting can be generalized as the fallacy in which, when counting events or occurrences in probability or in other areas, a solution counts events two or more times, resulting in an erroneous number of events or occurrences which is higher than the true result.This results in the calculated sum of probabilities for all possible outcomes to be higher than 100%, which is impossible.Sleeping, bathing and eating are also parts of the weekends, holidays and vacation times that are being included, making these hours double counted.
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