
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 jar contains five red marbles, seven green marbles, and fifteen white marbles, with no other types of marbles. If three marbles are randomly drawn without replacement from the jar, what is the probability that all three marbles drawn will be white? Express your answer as a common fraction.

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