
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 marble is drawn at random from Bag A. Calculate the probability that a marble drawn from Bag B is yellow, given that the probability of drawing a red marble from Bag A is $\frac{3}{9}$ and the probability of drawing a black marble from Bag A is $\frac{6}{9}$, and Bag B contains 6 yellow marbles and 4 blue marbles.

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