Azure Databricks falls under the PaaS category of cloud services. This is because Azure Databricks provides an application development platform to run data analytics workloads. In Platform as a Service (PaaS), the customer or user is responsible for using the platform capabilities while the underlying infrastructure management lies with the cloud provider. Users working on Azure Databricks are responsible for leveraging the platform's capabilities to design and develop their applications without worrying about the underlying infrastructure. Here, users are responsible for both data and applications they build on the platform. Azure is only responsible for providing the platform and managing its infrastructure.