
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
Given that in a bag there are 2 red balls and 3 black balls, all of the same size, find the probability of the two balls drawn being of the same color, given that the first ball drawn is red.

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