A market research firm is investigating the appeal of three package designs.The table below gives information obtained through a sample of 200 consumers.The three package designs are labeled A, B, and C.The consumers are classified according to age and package design preference. $$\begin{array} { | c | c | c | c | c | }
\hline & \text { A } & \text { B } & \text { C } & \text { Total } \
\hline \text { Under 25 years } & 22 & 34 & 40 & 96 \
\hline 25 \text { or older } & 54 & 28 & 22 & 104 \
\hline \text { Total } & 76 & 62 & 62 & 200 \
\hline
\end{array}$$ If one of these consumers is randomly selected, what is the probability that the person prefers design A and is under 25?
A)0.22
B)0.11
C)0.18
D)0.54
E)0.78

Question

A market research firm is investigating the appeal of three package designs.The table below gives information obtained through a sample of 200 consumers.The three package designs are labeled A, B, and C.The consumers are classified according to age and package design preference. $$\begin{array} { | c | c | c | c | c | } 
\hline & \text { A } & \text { B } & \text { C } & \text { Total } \
\hline \text { Under 25 years } & 22 & 34 & 40 & 96 \
\hline 25 \text { or older } & 54 & 28 & 22 & 104 \
\hline \text { Total } & 76 & 62 & 62 & 200 \
\hline
\end{array}$$ If one of these consumers is randomly selected, what is the probability that the person prefers design A and is under 25?
A)0.22
B)0.11
C)0.18
D)0.54
E)0.78

Quizplus · Accepted Answer

The probability is calculated by dividing the number of consumers who prefer design A and are under 25 (22) by the total number of consumers (200). Thus, $ \frac{22}{200} = 0.11 $.

A Market Research Firm Is Investigating the Appeal of Three