Question

From past experience 44% of emails are identified as spam by Outlook email users. An email spam filter is created that is constantly updated with the data from incoming emails. The inputs with the filter include that the word “inheritance” is included in 40% of a spam emails this word is included is only 2% of non spam emails

What is the probability that a randomly selected email contains the word “inheritance”

Answer 1

Given that

44% of the spam emails by outlook email P( S) = 0.44

56% of the Non spam emails

40% of the spam messages contains word inheritance P( F) = 0.40

only 2% of the Non span emails P(NS) = 0.02

What is the probability that a randomly selected email contains the word “inheritance”

Required probability = 0.56 * 0.02 + 0.44* 0.40

                                      = 0.0112 +0.176

                                     = 0.1872