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?
A)0.76
B)0.38
C)0.33
D)0.22
E)0.39

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?
A)0.76
B)0.38
C)0.33
D)0.22
E)0.39

Quizplus · Accepted Answer

The probability that a randomly selected person prefers design A is calculated by dividing the total number of people who prefer design A (76) by the total number of people surveyed (200). Thus, the probability is 76/200 = 0.38.

A Market Research Firm Is Investigating the Appeal of Three