
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 the "Three Kingdoms Kill" game, there is 1 'Monarch', 3 'Loyalists', 5 'Rebels', and 1 'Traitor', with a total of 10 people playing the game. The Monarch and the Loyalists are on the same team, the Rebels are on another team, and the Traitor is on his own team. If two brothers participate in the same round of the "Three Kingdoms Kill" game, what is the probability that the two brothers are on the same team? (Express the result as a simplified fraction)

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