
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
Given two coins of uniform quality are simultaneously tossed, ignoring the influence of objective factors, if it is already known that one coin is facing up, determine the probability that both coins are facing up.

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