
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 are 10 visually identical urns, 9 of which contain 2 black and 2 white balls, and one contains 5 white and 1 black ball. A ball is drawn from a randomly chosen urn. The drawn ball turned out to be white. What is the probability that this ball was drawn from the urn containing 5 white balls?

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