7.01% of all messages contains the word "text" (or "txt"). The word "text" (or "txt") is contained in 38.55% of all spam messages. Find the probability that a message is spam, given that it contains the word "text" (or "txt").
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The probability that a message is spam, given that it contains the word "text", is 73.69% Step-by-step explanation: We define the events: A= messages are identified as spam B= the word "text" is contained in the messages Hence, P(A)=13.40% P(B)=7.01% P(B|A)=38.55% The conditional probability of the Bayes theorem is given by: Then, =73.69%
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