Step 1 :The problem provides a table that shows the distribution, by age and gender, of the 30.1 million people in a certain region who live alone.
Step 2 :We are asked to find the probability that a randomly selected person living alone in the region is male.
Step 3 :From the table, we can see that the total number of males living alone is 14.1 million.
Step 4 :The total population of people living alone is 30.1 million.
Step 5 :The probability of an event is calculated by dividing the number of ways the event can occur by the total number of outcomes. In this case, the event is selecting a male, and the total number of outcomes is the total population.
Step 6 :So, the probability that a randomly selected person living alone in the region is male is calculated as follows: \(\frac{14.1}{30.1}\).
Step 7 :Calculating the above expression gives approximately 0.46843853820598.
Step 8 :Rounding to the nearest hundredth, we get \(\boxed{0.47}\).
Step 9 :So, the probability that a randomly selected person living alone in the region is male is approximately \(\boxed{0.47}\).