
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
Players A and B are playing a game of chess. The probability of a draw is $\dfrac{1}{2}$, and the probability of B winning is $\dfrac{1}{3}$. Given the following statements, the correct one is _______ (Fill in the serial number).

① The probability of A winning is $\dfrac{1}{6}$;

② The probability of A not losing is $\dfrac{1}{2}$;

③ The probability of B losing is $\dfrac{2}{3}$;

④ The probability of B not losing is $\dfrac{1}{2}$;

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