
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
A shooter hits the 10, 9, 8, 7 rings, and sub-7 rings with probabilities of 0.24, 0.28, 0.19, 0.16, and 0.13 respectively. Calculate the probability that in a single shot, the shooter:  
(1) hits the 10 or 9 rings,  
(2) hits at least the 7 ring,  
(3) does not hit the 8 ring.

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