
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 $X\sim N(4, \sigma ^{2})$, and $P(2\leqslant X\leqslant 6)\approx 0.6827$, then $P(|X-2|\leqslant 4)=\_\_\_\_\_\_$. <br/>Reference data: $P(\mu -\sigma\ \ \lt X\leqslant \mu +\sigma )\approx 0.6827$, $P(\mu -2\sigma\ \ \lt X\leqslant \mu +2\sigma )\approx 0.9545$, $P(\mu -3\sigma\ \ \lt X\leqslant \mu +3\sigma )\approx 0.9973$.

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