csat-suneung 2010 Q6

csat-suneung · South-Korea · csat__math-science 3 marks Conditional Probability Bayes' Theorem with Production/Source Identification
10\% of the emails Chulsu received contain the word ``travel''. 50\% of emails containing ``travel'' are advertisements, and 20\% of emails not containing ``travel'' are advertisements. Given that an email Chulsu received is an advertisement, what is the probability that it contains the word ``travel''? [3 points]
(1) $\frac { 5 } { 23 }$
(2) $\frac { 6 } { 23 }$
(3) $\frac { 7 } { 23 }$
(4) $\frac { 8 } { 23 }$
(5) $\frac { 9 } { 23 }$
10\% of the emails Chulsu received contain the word ``travel''. 50\% of emails containing ``travel'' are advertisements, and 20\% of emails not containing ``travel'' are advertisements. Given that an email Chulsu received is an advertisement, what is the probability that it contains the word ``travel''? [3 points]\\
(1) $\frac { 5 } { 23 }$\\
(2) $\frac { 6 } { 23 }$\\
(3) $\frac { 7 } { 23 }$\\
(4) $\frac { 8 } { 23 }$\\
(5) $\frac { 9 } { 23 }$