Restaurant Bayes

One evening you go to Restaurant Bayes. Unfortunately, the food is of low quality and you would, therefore, like to reason which chef prepared the food of low quality.

Peter and Eric are the chefs at Restaurant Bayes. Peter works six days a week while Eric works one day a week. In 90% of the cases Peter's food is high quality while Eric's food is high quality in 50% of the cases.

Given our knowledge of the problem is it fair to conclude that Eric prepared the food of low quality?

The Bayesian network modelling the problem

The Bayesian network above specifies the relation between the chef and the quality of the food. This network is the foundation for the widget displayed below.

Interact with the form to compute the probability of Eric being the chef once we observe the quality of the food to be awful.