
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 magician's hat contains 4 red chips and 3 green chips. Chips are drawn randomly, one at a time without replacement, until all of the green chips are drawn or all of the red chips are drawn. Determine the probability that all the red chips are drawn before all the green chips.

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