
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
There are 5 red balls and 11 blue balls in a box. Among the red balls, there are 2 glass balls and 3 wooden balls; among the blue balls, there are 4 glass balls and 7 wooden balls. Suppose we randomly draw one ball from the box, and each ball has the same probability of being drawn. If it is known that the ball drawn is a glass ball, what is the probability that it is a blue ball?

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