
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
Anna will randomly select three letters from the word PLANET, three letters from the word CIRCUS, and two letters from the word GAMES. What is the probability that she will have all the letters from the word PLUM? Express your answer as a common fraction.

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