1. Can each event on a probability tree have more than two branches?

Yes, for example a problem may involve a meal at a restaurant and the meal may consist of entree, main and dessert, these three choices would form three branches on a tree diagram.

2. Do the probabilities shown on the branches of a probability tree always add up to 1?

Yes, even if there are more than two, the probabilities should still add up to 1.