
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
A student has one item of each type and needs to dispose of them into the correct bins without knowing which bin is for which recyclable. Calculate the probability that the student, guessing randomly, places each item in the correct bin.

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