
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 math exam, the probability of Xiao Ming scoring 90 or above is 0.18, the probability of scoring between 80 and 89 is 0.51, the probability of scoring between 70 and 79 is 0.15, and the probability of scoring between 60 and 69 is 0.09. Calculate the probability of Xiao Ming scoring 80 or above in the math exam and the probability of Xiao Ming failing the exam (scoring below 60).

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