You have three buckets with marbles inside. Bucket #1 has 2 red marbles and 1 blue marble, Bucket #2 has 1 red and 1 blue marble, and Bucket #3 has 3 red marbles and 1 blue marble.
In this game of chance, you select a bucket and then select a marble from within that bucket. You win if you draw a red marble. What is the theoretical probability of winning this game?