
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
Cindy will randomly select three letters from the word RIVER, three letters from the word STONE, and four letters from the word FLIGHT. What is the probability that she will have all of the letters from the word FILTER? Express your answer as a common fraction.

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