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A college bookstore makes an order to replenish its stock of three different types of paper: college rule line paper, legal rule line paper, and graph paper. In addition, the paper is purchased bound as either spiral notebooks or paper pads. The table shows the store's order.
Bookstore Order of Different Types of Paper

College rule
Legal rule
Graph

Spiral notebooks
175
60
75

Paper pads
90
110
125

If a graph paper item from the order is selected at random, what is the percent probability that the item is bound as a paper pad?

A college bookstore makes an order to replenish its stock of three different types of paper: college rule line paper, legal rule line paper, and graph paper. In addition, the paper is purchased bound as either spiral notebooks or paper pads. The table shows the store's order. $\newline$ Bookstore Order of Different Types of Paper $\newline$ \begin{tabular}{lccc} $\newline$ & College rule & Legal rule & Graph \\ $\newline$ \hline Spiral notebooks & $175$ & $60$ & $75$ \\ $\newline$ Paper pads & $90$ & $110$ & $125$ $\newline$ \end{tabular} $\newline$ If a graph paper item from the order is selected at random, what is the percent probability that the item is bound as a paper pad?

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Find probabilities using the addition rule

Full solution

Q. A college bookstore makes an order to replenish its stock of three different types of paper: college rule line paper, legal rule line paper, and graph paper. In addition, the paper is purchased bound as either spiral notebooks or paper pads. The table shows the store's order.

\newline

Bookstore Order of Different Types of Paper

\newline

\begin{tabular}{lccc}

\newline

& College rule & Legal rule & Graph \\

\newline

\hline Spiral notebooks &

175

&

60

&

75

\\

\newline

Paper pads &

90

&

110

&

125

\newline

\end{tabular}

\newline

If a graph paper item from the order is selected at random, what is the percent probability that the item is bound as a paper pad?

Calculate Total Graph Items: question_prompt: What is the percent probability that a randomly selected graph paper item is bound as a paper pad?
Calculate Probability of Paper Pad: Calculate the total number of graph paper items. Add the number of graph paper spiral notebooks to the number of graph paper pads: $75$ (spiral notebooks) + $125$ (paper pads) = $200$ graph paper items in total.
Convert Probability to Percentage: Calculate the probability that a graph paper item is a paper pad. Divide the number of graph paper pads by the total number of graph paper items: $\frac{125 \text{ (paper pads)}}{200 \text{ (total graph paper items)}} = 0.625$ .
Convert Probability to Percentage: Calculate the probability that a graph paper item is a paper pad. Divide the number of graph paper pads by the total number of graph paper items: $\frac{125 \text{ (paper pads)}}{200 \text{ (total graph paper items)}} = 0.625$ . Convert the probability to a percentage. Multiply the probability by $100$ to get the percentage: $0.625 \times 100 = 62.5\%$ .

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