
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 fires one shot. The probabilities of hitting 10, 9, 8, and 7 rings are 0.20, 0.22, 0.25, and 0.28 respectively. Calculate the shooter's probabilities of:  
(1) Hitting at least 7 rings in one shot;  
(2) Hitting fewer than 8 rings in one shot.

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