
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
Conduct a repeated experiment: Throw the same bottle cap 1000 times. Based on statistics, the frequency of "convex side up" is about 0.44. Use this to estimate the probability of "concave side up" when the bottle cap is thrown.

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