
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
The World Health Organization has stated that the novel coronavirus may cause "sustained human-to-human transmission." In simpler terms, this means that there is transmission from person $A$ to person $B$, then from $B$ to $C$, and from $C$ to $D", which is known as "sustained human-to-human transmission." In this scenario, $A$, $B$, and $C$ would be referred to as the first, second, and third generation transmitters. Assuming that the probability of a healthy individual being infected by the first, second, and third generation transmitters is $0.95$, $0.9$, and $0.85$ respectively, and that a healthy individual named Xiao Ming attended a gathering where there were $5$ first-generation transmitters, $3$ second-generation transmitters, and $2$ third-generation transmitters. Calculate the probability of Xiao Ming getting infected if he only came into contact with one of the $10$ infected individuals at the gathering.

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