
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
There is an urn containing 5 white and 4 blue balls, and another urn containing 2 white and 8 blue balls. We draw one ball from each urn and, without looking at them, place them into a third, empty urn. What is the probability that when drawing one ball from this third urn, which now contains two balls, the drawn ball will be white?

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