ITEM THREE
(20 scores)
An organization wants to build a school in a certain community. Below were the reasons they identified as to why children were not schooling.
A =school is boring. \( \quad \mathbf{B}= \) no school fees. \( \quad \mathbf{C}= \) we want to work.
They carried out research on a sample of \( \mathbf{5 0} \) children in that community to find out which reason has the highest probability amongst the above and hence base on that to either build the school or not. Children gave one reason, others gave two and the others gave three as shown below.
\begin{tabular}{llllllllll}
A & B,C & B & A,C & A & B,C & B & A,C & A,B,C & B \\
C,B & B & B,C & A,B,C & A,C & B & C & B & C & B \\
B & A,B,C & B,A & A & B & A & C,B & A,B & B,A & C \\
C & A,C & B,A & B & C,B & C & C & A & B & B,C \\
A,C & B & A & A & C & B,A & C & B & A & A,C
\end{tabular}
Task:
(a) Present the data in such a way that the total responses for each reasons A, B and \( \mathbf{C} \) respectively are clearly shown
(b) (i) Which reason has the highest probability?
(ii) What is the probability?
(iii) Basing on the value of probability should they build the school or not? Give a reason for your answer.
