
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
Joe will randomly select two letters from the word CAKE, four letters from the word SHORE, and three letters from the word FLOW. What is the probability that he will have all of the letters from the word COFFEE? Express your answer as a common fraction.

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