
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 has 4 white marbles and 5 black marbles. Bag B has 7 orange marbles, 5 green marbles, and 3 blue marbles. Bag C has 4 orange marbles, 4 green marbles, and 2 blue marbles. A marble is drawn at random from Bag A. If it is white, a marble is drawn at random from Bag B, otherwise, if it is black, a marble is drawn from Bag C. What is the probability that the second marble drawn is orange?

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