City A is most likely to receive the least amount of annual precipitation on average. The Option A is correct.
In the map, the prevailing winds in the western United States are from the southwest meaning that moisture-laden air masses are carried from the Pacific Ocean towards the inland areas. As these air masses move inland, they tend to release moisture in the form of rainfall or snowfall when they encounter geographical barriers such as mountains.
In this map, City A is located further inland and to the east of the mountain range and thus making it less likely to receive significant precipitation compared to the other cities. The mountains to the west of City A would block much of the moisture resulting in drier conditions for this city.
Note: The map is attached below.