Active redundancy is like having a double of something just in case the first one doesn't work. Imagine you wanted to make sure you always have a toy car to play with. You might get two toy cars, so if one breaks or runs out of batteries, you can still play with the other one.
For example, if you have two computer servers, and one stops working, the other one can take over and continue to do the job. This is called active redundancy because the backup server is "active" and ready to take over if needed. This way, there is no downtime or interruption in service.
Active redundancy is used to make sure everything keeps working even if there is a problem. It's like having a backup plan in case your first plan doesn't work out.