
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
A bag contains eight green balls and six red balls. A ball is taken from the bag, and if it is green, it is recorded and then placed back in the bag. A second ball is then taken from the bag and its color is recorded. What is the probability that the second ball is green given that the first ball was green?

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