
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
Given that the probability of the number of virus $A$ surviving in a certain solution is $P(X=k)=\frac{{3^k}}{{k!}}{e^{-3}}(k=0,1,2,\cdots )$, and it is known that as long as there is one virus $A$ in the solution, it can cause the death of organism $C$, then the probability of the solution causing the death of organism $C$ is ______.

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