
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
Consider a scenario where Liz guesses randomly on a 10-question multiple choice test, where each question has three choices, one correct and two incorrect. What is the probability that she gets at least half of the questions correct? Express your answer as a common fraction.

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