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A spam filtering system has a probability of 0.95 to classify correctly a mail as spam and 0.10 probability of giving false positive. It is estimated that 0.5% of the mails are actual spam mails.
0. Suppose that the system is now given a new mail to be classified as spam/ not-spam, what is the probability that the mail will be classified as spam?
0.89575
0.10425
0.00475
0.0995
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