# The following two-way contingency table gives the breakdown of the population of adults in a town according to their highest level of education and whether or not they regularly take vitamins

The following two-way contingency table gives the breakdown of the population of adults in a town according to their highest level of education and whether or not they regularly take vitamins:
$\begin{array}{|ccc|}\hline \text{Education}& \text{Use of vitamins takes}& \text{Does not take}\\ \text{No High School Diploma}& 0.03& 0.07\\ \text{High School Diploma}& 0.11& 0.39\\ \text{Undergraduate Degree}& 0.09& 0.27\\ \text{Graduate Degree}& 0.02& 0.02\\ \hline\end{array}$
You select a person at random. What is the probability the person does not take vitamins regularly?

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Step 1
From the given information
$\begin{array}{|cccc|}\hline \text{Education}& \text{Use of vitamins takes}& \text{Does not take}& \text{Total}\\ \text{No High School Diploma}& 0.03& 0.07& 0.10\\ \text{High School Diploma}& 0.11& 0.39& 0.50\\ \text{Undergraduate Degree}& 0.09& 0.27& 0.36\\ \text{Graduate Degree}& 0.02& 0.02& 0.04\\ \text{Total}& 0.25& 0.75& 1\\ \hline\end{array}$
Step 2
The probability that the person does not take vitamins regularly is obtained as follows: $P\left(\text{Does not take vitamins regularly}\right)=0.07+0.39+0.27+0.002=0.75$
Thus, the probability that the person does not take vitamins regularly is 0.75