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Logic & Puzzles

If an automated spam filter flags an email as suspicious, which consequence related to conditional probability follows?

A)Decreased false positive rate always
B)Increased overall classification accuracy always
C)Increased probability of it being spam
D)Reduced impact of Bayesian analysis

💡 Explanation

The spam filter's flag increases the probability that the email is actually spam, because the flag event updates the prior probability. Therefore, the posterior probability of spam increases, rather than decreasing the false positive rate or accuracy, which depend on other factors.

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