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An email filter handles a stream of messages, of which… | StemPy Lab
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An email filter handles a stream of messages, of which 35% are spam. The filter flags 90% of the spam messages and 10% of the genuine messages. A message is flagged. What is the probability that it is spam?
Mathematics
Medium
High School (11–12)
Statistics and Probability › Conditional Probability and Bayes' Theorem
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An email filter handles a stream of messages, of which
35
%
35\%
35%
are spam. The filter flags
90
%
90\%
90%
of the spam messages and
10
%
10\%
10%
of the genuine messages. A message is flagged. What is the probability that it is spam?
9
10
\dfrac{9}{10}
10
9
13
76
\dfrac{13}{76}
76
13
63
76
\dfrac{63}{76}
76
63
7
20
\dfrac{7}{20}
20
7
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