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Section 3[20 pts (5 points each)]: Probability 1. Hui classies 90 percent of the emails she receives as spam. One-half of those emails marked as

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Section 3[20 pts (5 points each)]: Probability 1. Hui classies 90 percent of the emails she receives as spam. One-half of those emails marked as spam contain word FREE. Only 20 percent of the emails that are not spam contain the word FREE. If a new email arrives containing the word FREE, what is the probabability that the email is actually spam? Reduce your answer to a simple fraction (5 where a: and y are non-negative integers.)

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