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A spam filter classifies emails as Spam (S) or Not Spam (¬S) using the Naïve...

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A spam filter classifies emails as Spam (S) or Not Spam (¬S) using the Naïve Bayes algorithm. Given a dataset, the following probabilities are known:

P(S)=0.4 (40 % of emails are spam)

P(¬S)=0.6 (60% of emails are not spam).

70% of spam emails contain "offer" and 10% of non-spam emails contain "offer".

If a new email contains the word offer, find the probability that it is spam.

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