
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
An archer in a shooting training session has the probabilities of hitting the 10, 9, 8, and 7 rings as 0.21, 0.23, 0.25, and 0.28, respectively. Calculate the probability that this archer in a single shot:  
(1) hits either the 10 ring or the 7 ring;  
(2) scores below the 7 ring.

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