NSW Y8 Maths Probability 2 way tables

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2 way tables Theory

\textbf{Example}\\ 31 students were surveyed on whether they can or cannot swim.\\ \begin{center} \begin{tabular}{|c|c|c|c|} \cline{2-3}  \multicolumn{1}{c|}{} & \text { Can Swim}& \text { Cannot Swim}& \multicolumn{1}{|c}{}\\ \hline \text { BOYS } & 12 & 3 & 15 \\ \hline \text { GIRLS } & 14 & 2 & 16 \\ \hline & 26 & 5 & 31 \\ \hline \end{tabular} \end{center} \textbf{i)} How many boys are there?\\ \textbf{ii)} How many students can swim?\\ \textbf{iii)} How many girls cannot swim?\\ \textbf{iv)} What is the probability of randomly selecting a boy that cannot swim?\\  \textbf{Example solution}\\ \textbf{i)} Total boys \(=12+3=15\)\\ \textbf{ii)} Tota students who can swim \(=12+14\) \(=26\).\\ \textbf{iii)} Girls who cannot swim \(=2\)\\[3pt] \textbf{iv)} \(P\) (boy cannot swim) \(=\dfrac{3}{31}\)

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  • 2 way tables - Video - Two Way Tables 1

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