
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
During the military training in the first year of high school, a student shoots once, hitting the 10-ring, 9-ring, and 8-ring with probabilities of 0.13, 0.28, and 0.31, respectively.

 (1) Calculate the probability of hitting the 10-ring or 9-ring in one shot;

 (2) Calculate the probability of hitting less than 9 rings in one shot.

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