
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 box contains eight cards. Four of the cards are blue on both sides, two cards are blue on one side and green on the other, and two of the cards are green on both sides. You pick a card uniformly at random from the box and look at a random side. Given that the side you see is green, what is the probability that the other side is also green?

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