
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
When Li Ming goes to school in the morning, he can take the bus or ride a bike. It is known that the probability of Li Ming riding a bike is $0.7$, the probability of taking the bus is $0.3$, and the probability of Li Ming arriving at school on time when riding a bike is $0.9$ and when taking the bus is $0.8$ respectively. Calculate the probability that Li Ming arrives at school on time.

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