
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
In a bag, there are 6 blue chips, 5 red chips, and 4 yellow chips. A chip is drawn from the bag. If the drawn chip is blue, an additional blue chip is added to the bag before the second draw. If the chip drawn is not blue, no chips are added. Afterward, a second chip is drawn. What is the probability that the two selected chips are of different colors? Express your answer as a common fraction.

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