
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
Jar C contains 6 red buttons and 10 blue buttons. Carla removes the same number of red and blue buttons from Jar C and transfers them to an empty Jar D. After the transfer, Jar C has $\frac{3}{4}$ of its original number of buttons. If Carla now selects a button from Jar C and another from Jar D at random, what is the probability that both selected buttons are blue?

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