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It is estimated that 50% of emails are spam emails. Some software has been applied to filter these spam emails before they reach your inbox.

It is estimated that 50% of emails are spam emails. Some software has been applied to filter these spam emails before they reach your inbox. A certain brand of software claims that it can detect 95% of spam emails and the probability for a false positive (a non-spam email detected as spam) is 8%.

Now if an email is detected as spam, then what is the probability that it is in fact a non-spam email?

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