A traffic engineer is counting the number of vehicles by type that turn into a residential area. The table below shows the results of the counts during a​ four-hour period. What is the probability that the next vehicle passing is an​ SUV?

To find the probability that the next vehicle passing is an SUV, we first need to calculate the total number of vehicles observed and then determine the proportion of SUVs among them.

From the table, we can see the counts for each type of vehicle:

- Car: 271
- SUV: 411
- Van: 77
- Small truck: 269
- Large truck: 212
- Dump truck: 21
- Other: 68

Now we can calculate the total number of vehicles:

\[
\text{Total vehicles} = 271 + 411 + 77 + 269 + 212 + 21 + 68
\]

Calculating this step by step:

1. \(271 + 411 = 682\)
2. \(682 + 77 = 759\)
3. \(759 + 269 = 1028\)
4. \(1028 + 212 = 1240\)
5. \(1240 + 21 = 1261\)
6. \(1261 + 68 = 1329\)

So, the total number of vehicles is 1329.

Next, we find the number of SUVs, which is 411.

Now we can calculate the probability \(P\) that the next vehicle passing is an SUV:

\[
P(\text{SUV}) = \frac{\text{Number of SUVs}}{\text{Total number of vehicles}} = \frac{411}{1329}
\]

To express this as a decimal, we can perform the division:

\[
P(\text{SUV}) \approx 0.309 (rounded to three decimal places)
\]

Thus, the probability that the next vehicle passing is an SUV is approximately \(0.309\), or \(30.9\%\).