
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 4 balls that are identical in shape and size, and the balls are numbered 1, 2, 3, and 4. Players A, B, and C draw a ball in sequence with replacement, and the numbers of the balls they draw are denoted as $a$, $b$, and $c$, respectively.  
(1) In a single draw, if two people draw balls with the same number, then these two people are called "good friends". Calculate the probability that A and B become "good friends".  
(2) Calculate the probability that the numbers drawn satisfy the equation $a+b+2c=6$.

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