To find the probability that a randomly selected person living alone in the region is male, follow these steps:
1. Understand the Given Data:
- The table shows the distribution of people living alone in various age groups, separated by gender.
- The total number of people living alone in the region is 30.6 million.
- The total number of males living alone in the region is 12.5 million.
2. Recall the Formula for Probability:
The probability of an event is given by the ratio of the number of favorable outcomes to the total number of outcomes. In this case:
[tex]\[
\text{Probability} = \frac{\text{Number of males living alone}}{\text{Total number of people living alone}}
\][/tex]
3. Plug in the Given Values:
We know:
- Number of males living alone = 12.5 million
- Total number of people living alone = 30.6 million
[tex]\[
\text{Probability of selecting a male} = \frac{12.5}{30.6}
\][/tex]
4. Calculate the Probability:
Performing the division gives us the probability:
[tex]\[
\frac{12.5}{30.6} \approx 0.4085
\][/tex]
So, the probability that a randomly selected person living alone in the region is male is approximately [tex]\(0.4085\)[/tex] or [tex]\(40.85\%\)[/tex].
