
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 pocket, there are 4 balls that are identical in shape and size, and the balls are numbered 1, 2, 3, and 4 respectively. Person A and person B each draw a ball with replacement. Let the numbers of the balls drawn be $a$ and $b$. If in a single draw, both persons draw a ball with the same number, they are called "good friends." The probability that persons A and B become "good friends" is ____.

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