
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 box contains 4 blue chips, 3 red chips, and 2 green chips. Chips are drawn randomly, one at a time without replacement, until all of the blue chips are drawn or until both green chips are drawn. What is the probability that all the blue chips are drawn before both green chips?
**A)** $\frac{35}{18}$  
**B)** $\frac{17}{36}$  
**C)** $\frac{5}{9}$  
**D)** $\frac{2}{5}$  
**E)** $\frac{7}{10}$

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