csat-suneung 2018 Q6

csat-suneung · South-Korea · csat__math-humanities 3 marks Conditional Probability Direct Conditional Probability Computation from Definitions
A survey was conducted on 500 students at a high school regarding their desire to visit regions A and B for cultural exploration. The results are as follows. (Unit: students)
Region BWishDo not wishTotal
Wish140310450
Do not wish401050
Total180320500

When one student is randomly selected from this high school and is found to wish to visit region A, what is the probability that this student also wishes to visit region B? [3 points]
(1) $\frac { 19 } { 45 }$
(2) $\frac { 23 } { 45 }$
(3) $\frac { 3 } { 5 }$
(4) $\frac { 31 } { 45 }$
(5) $\frac { 7 } { 9 }$
A survey was conducted on 500 students at a high school regarding their desire to visit regions A and B for cultural exploration. The results are as follows.\\
(Unit: students)
\begin{center}
\begin{tabular}{ | c | c | c | c | }
\hline
Region B & Wish & Do not wish & Total \\
\hline
Wish & 140 & 310 & 450 \\
\hline
Do not wish & 40 & 10 & 50 \\
\hline
Total & 180 & 320 & 500 \\
\hline
\end{tabular}
\end{center}
When one student is randomly selected from this high school and is found to wish to visit region A, what is the probability that this student also wishes to visit region B? [3 points]\\
(1) $\frac { 19 } { 45 }$\\
(2) $\frac { 23 } { 45 }$\\
(3) $\frac { 3 } { 5 }$\\
(4) $\frac { 31 } { 45 }$\\
(5) $\frac { 7 } { 9 }$