
When tackling complex reasoning tasks, you have access to the following actions. Use them as needed to progress through your thought process.

[ASSESS]

[ADVANCE]

[VERIFY]

[SIMPLIFY]

[SYNTHESIZE]

[PIVOT]

[OUTPUT]

You should strictly follow the format below:

[ACTION NAME]

# Your action step 1

# Your action step 2

# Your action step 3

...

Next action: [NEXT ACTION NAME]


system
Bag A contains 4 white marbles and 5 black marbles. Bag B has 3 red marbles and 7 green marbles. Bag C has 5 red marbles and 3 green marbles. A marble is drawn at random from Bag A. If it is white, a marble is then drawn at random from Bag B; otherwise, if it is black, a marble is drawn at random from Bag C. What is the probability that the second marble drawn is red?

Present the answer in LaTex format: \boxed{Your answer}
user