Julie’s lolly bag contains two chocolates, two boiled lollies and a gum ball. She eats two of them, randomly, one after the other (that is, with no replacement.)

a Use a simple tree diagram to represent this situation.
b What is the probability the lollies she eats will be a chocolate, followed by a boiled lolly?
c What is the probability both the lollies will be the same?
d What is the probability at least one of the lollies will be a chocolate?
e She decides that if the second lolly is the same as the first, she will replace it and try again until she gets a different lolly. What now is the probability at least one of the lollies will be a chocolate?
(Hint: There is no need to extend the tree diagram. Think of what this situation is
equivalent to.)