
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
Bag A contains 1 white ball and 1 yellow ball, while Bag B contains 2 white balls and 1 yellow ball. These balls are identical except for their colors. Without seeing the balls, one ball is randomly drawn from each bag. The probability that both drawn balls are white is ______.

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