
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

There are two urns containing balls of three colors. The first urn contains 2 blue, 3 red, and 5 green balls, while the second urn contains 4 blue, 2 red, and 4 green balls. One ball is drawn from each urn, and their colors are compared. Find the probability that the colors of the drawn balls are the same (event $A$).

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