
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
We have four containers with the following configurations:
- Container A has 5 red balls and 5 green balls.
- Container B has 7 red balls and 3 green balls.
- Container C has 10 red balls and no green balls.
- Container D has 4 red balls and 6 green balls.
A container is chosen at random, and then a ball is randomly selected from that container. What is the probability that the ball selected is green?

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