
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
Let the probability mass function of the random variable $\xi$ be $P(\xi =k)=\dfrac{c}{k(k+1)}$, where $k=1,2,3$ and $c$ is a constant. Calculate the value of $P(\xi \geqslant 2)$.

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