Which AWS service provides a serverless database solution?

Amazon DynamoDB is the correct choice as it is a fully managed, serverless NoSQL database service offered by AWS. It is designed to handle high-velocity workloads and automatically scales to accommodate varying traffic patterns without the need to provision or manage the underlying infrastructure. This enables developers to focus on building applications rather than worrying about database management tasks.

DynamoDB offers features such as low-latency performance, built-in security, and the ability to handle large data volumes while allowing seamless integration with other AWS services. Its serverless nature means that users only pay for the resources they actually use, eliminating the need for upfront capacity planning and maintenance.

In contrast, other options like Amazon RDS and Amazon Aurora involve managing instances and some level of server management, thus are not categorized as serverless solutions. Amazon S3, while a highly scalable object storage service, does not function as a database.