Frequentist vs Bayesian

We use Target for our AB tests and Analytics for our metrics.  I understand Analytics and Target uses the Frequentist model and not the Bayesian model?  We have another product that uses a different platform for it's testing and metrics (neither Adobe), but they use the Bayesian model, and I'm trying to understand in laymen's terms the pros and cons of the Frequentist vs the Bayesian model for determining if a test is succesful or not?  We're using tests to sell a non-tangible product, such as insurance.