
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 white ball is added to an urn initially containing two balls, then one ball is drawn from the urn at random. Find the probability that the drawn ball is white, assuming all initial compositions of the balls (in terms of color) are equally likely.

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