College

The probabilities of a positive response to two government programs from the citizens in eight cities are given in the table.



\[

\begin{tabular}{|l|l|l|}

\hline

\text{City} & \text{Positive Response for Program 1} & \text{Positive Response for Program 2} \\

\hline

\text{Atlanta} & 77.8\% & 82.1\% \\

\hline

\text{Boston} & 96.4\% & 36.6\% \\

\hline

\text{Chicago} & 65.9\% & 87.5\% \\

\hline

\text{Dallas} & 70.0\% & 80.9\% \\

\hline

\text{Houston} & 69.7\% & 79.4\% \\

\hline

\text{Los Angeles} & 79.4\% & 98.1\% \\

\hline

\text{Miami} & 82.5\% & 82.6\% \\

\hline

\text{Newark} & 81.4\% & 83.3\% \\

\hline

\text{Total} & 68.8\% & 81.7\% \\

\hline

\end{tabular}

\]



What is the chance of a positive response for Program 2 given that the individual is from Los Angeles?



A. $68.8 \%$

B. $78.4 \%$

C. $81.7 \%$

D. $98.1 \%$

Answer :

- Read the probability of a positive response for Program 2 in Los Angeles from the table.
- The probability is $98.1\%$.
- Therefore, the chance of a positive response for Program 2 given that the individual is from Los Angeles is $98.1\%$.
- The answer is $\boxed{98.1\%}$.

### Explanation
1. Analyze the problem
The problem provides a table of probabilities of positive responses to two government programs in eight cities. We are asked to find the probability of a positive response for Program 2, given that the individual is from Los Angeles.

2. Locate the relevant data
We need to look at the row corresponding to Los Angeles and the column corresponding to Positive Response for Program 2. The value in that cell is the answer to the question.

3. Identify the probability
From the table, the probability of a positive response for Program 2 in Los Angeles is $98.1\%$.

4. State the final answer
Therefore, the chance of a positive response for Program 2 given that the individual is from Los Angeles is $98.1\%$.

### Examples
This type of probability analysis is used in market research to understand customer preferences for different products or services in different regions. For example, a company might survey customers in various cities to determine the likelihood of them purchasing a new product. This information can then be used to tailor marketing campaigns to specific regions, maximizing the effectiveness of their advertising efforts.