
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 green on both sides, two cards are green on one side and yellow on the other, and two of the cards are yellow 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 yellow, what is the probability that the other side is yellow?

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