
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

Stefan Banach bought two matchboxes, each containing 60 matches. When Banach needs a match, he randomly selects one of the boxes and takes a match from it. At some point, Banach finds that one of the boxes is empty. Find the expected number of matches in the other box.

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