30 marbles are placed in a bag: 5 are red, 10 are green, and 15 are blue. You conduct an experiment where you draw 2 marbles consecutively, replacing them after they are drawn.

1. Draw a tree diagram of all possible outcomes for this experiment, label the probability of each outcome.
2. What is the probability at least one blue marble is drawn?
3. What is the probability no green marble is drawn?
4. What is the probability a red marble is drawn second?

Prove that if you have a data set