
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
In a shooting training, the probability that a soldier scores 9 rings (including 9 rings) or above in one shot is 0.18. The probability of scoring between 8 and 9 rings (including 8 rings) is 0.51. The probability of scoring between 7 and 8 rings (including 7 rings) is 0.15. The probability of scoring between 6 and 7 rings (including 6 rings) is 0.09. Calculate the probability that the soldier scores 8 rings (including 8 rings) or above in one shot during the shooting training, and the probability that the soldier passes the shooting training (passing means scoring above 6 rings, including 6 rings).

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