
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
Alyosha, Borya, and Vasya are holding a mini-tournament in tennis: each person plays with each other once. The winner receives 1 point, the loser 0, and there are no ties in tennis. The absolute winner of the mini-tournament is the one who accumulates a total of 2 points. It is known that Alyosha wins against Borya with a probability of 0.6, and Borya wins against Vasya with a probability of 0.4. What is the probability of the event \(C\) that "there will be no absolute winner"?

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