Questions: A survey asked 1,000 people which magazine they preferred, given three choices. The table below breaks the votes down by magazine and age group. Age Below 40 Age 40 and Above The National Journal 104 200 Newsday 120 230 The Month 240 106 If you randomly select a person under the age of 40 from the group, what is the probability that they voted for "The Month?" Answer choices are rounded to the hundredths place. 0.20 0.52 0.48 0.24

A survey asked 1,000 people which magazine they preferred, given three choices. The table below breaks the votes down by magazine and age group.

Age Below 40 Age 40 and Above
The National Journal 104 200
Newsday 120 230
The Month 240 106

If you randomly select a person under the age of 40 from the group, what is the probability that they voted for "The Month?" Answer choices are rounded to the hundredths place.
0.20
0.52
0.48
0.24

Transcript text: A survey asked 1,000 people which magazine they preferred, given three choices. The table below breaks the votes down by magazine and age group. \begin{tabular}{|c|c|c|} \hline & Age Below 40 & Age 40 and Above \\ \hline The National Journal & 104 & 200 \\ \hline Newsday & 120 & 230 \\ \hline The Month & 240 & 106 \\ \hline \end{tabular} If you randomly select a person under the age of 40 from the group, what is the probability that they voted for "The Month?" Answer choices are rounded to the hundredths place. 0.20 0.52 0.48 0.24

Solution

Solution Steps

To find the probability that a randomly selected person under the age of 40 voted for "The Month," we need to calculate the ratio of people under 40 who voted for "The Month" to the total number of people under 40. First, sum the votes for all magazines from people under 40. Then, divide the number of votes for "The Month" by this total.

Step 1: Calculate Total Votes Under 40

The total number of votes from people under the age of 40 is calculated as follows:

\[ \text{Total Votes Under 40} = 104 + 120 + 240 = 464 \]

Step 2: Identify Votes for "The Month"

The number of votes for "The Month" from people under 40 is:

\[ \text{Votes for "The Month"} = 240 \]

Step 3: Calculate Probability

The probability \( P \) that a randomly selected person under the age of 40 voted for "The Month" is given by the ratio of votes for "The Month" to the total votes under 40:

\[ P = \frac{\text{Votes for "The Month"}}{\text{Total Votes Under 40}} = \frac{240}{464} \approx 0.5172 \]

Rounding this to the hundredths place gives:

\[ P \approx 0.52 \]