Step 1 :The question is asking for the probability that a randomly selected resident of this neighborhood both owns a car and uses public transport.
Step 2 :From the table, we can see that the total number of residents is 271 and the number of residents who both own a car and use public transport is 34.
Step 3 :So, the probability can be calculated by dividing the number of residents who both own a car and use public transport by the total number of residents.
Step 4 :\(\text{total residents} = 271\)
Step 5 :\(\text{residents own car and use public transport} = 34\)
Step 6 :\(\text{probability} = \frac{\text{residents own car and use public transport}}{\text{total residents}} = \frac{34}{271} = 0.12546125461254612\)
Step 7 :The probability that a randomly selected resident of this neighborhood both owns a car and uses public transport is approximately \(\boxed{0.125}\).