
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
A certain business manager often travels from Beijing to Shanghai for business trips. The probabilities of taking a plane and a high-speed train from Beijing to Shanghai are $0.7$ and $0.3$ respectively. The probabilities of the plane and high-speed train arriving on time are $0.8$ and $0.9$ respectively. If he arrives in Shanghai on time, the probability of arriving on time by plane compared to arriving on time by high-speed train is higher by _______. (Answer in fraction)

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