
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 probability of missing the target is 0.20. The probabilities of hitting the rings 6, 7, 8, 9, and 10 are 0.10, 0.20, 0.30, 0.15, and 0.05, respectively. Calculate the probability of this person hitting the target.

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