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Suppose that a Bayesian spam filter is trained on a set of 10,000 spam messages and 5,000 messages that are not spam. The word opportunity

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Suppose that a Bayesian spam filter is trained on a set of 10,000 spam messages and 5,000 messages that are not spam. The word "opportunity" appears in 800 spam messages and 100 messages that are not spam. 20% of the incoming email messages to the inbox are spam. Find the probability that a received message containing the word "opportunity" is spam

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