The data in the following table show the outcomes of the testing of an allergy drug on 500 people. $$\begin{array} { l | c | c | c | c }
& \begin{array} { c }
\text { Allergy } \
\text { drug }
\end{array} & \text { Placebo } & \begin{array} { c }
\text { Control } \
\text { (no treatment) }
\end{array} & \text { Total } \
\hline \text { Improvement } & 145 & 85 & 41 & 271 \
\text { No improvement } & 55 & 115 & 59 & 229 \
\text { Total } & 200 & 200 & 100 & 500
\end{array}$$
-What is the probability that a randomly selected person either was given the allergy drug or improved?
A)0.652
B)0.625
C)0.942
D)0.29

Question

The data in the following table show the outcomes of the testing of an allergy drug on 500 people. $$\begin{array} { l | c | c | c | c } 
& \begin{array} { c } 
\text { Allergy } \
\text { drug }
\end{array} & \text { Placebo } & \begin{array} { c } 
\text { Control } \
\text { (no treatment) }
\end{array} & \text { Total } \
\hline \text { Improvement } & 145 & 85 & 41 & 271 \
\text { No improvement } & 55 & 115 & 59 & 229 \
\text { Total } & 200 & 200 & 100 & 500
\end{array}$$
-What is the probability that a randomly selected person either was given the allergy drug or improved?
A)0.652
B)0.625
C)0.942
D)0.29

Quizplus · Accepted Answer

The probability of being given the allergy drug is 200/500 = 0.4. The probability of improvement is 271/500 = 0.542. The probability of being given the allergy drug or improving is 0.4 + 0.542 - 0.4 * 0.542 = 0.652.

The Data in the Following Table Show the Outcomes of the Testing