
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 certain season of the National Basketball Professional League, teams H and F competed against each other using a best-of-seven format (no ties). This means that if one team wins 4 games, they win the competition and the games end. It is assumed that both teams have an equal chance of winning. According to past data, the host of each game can earn a ticket revenue of 100 million yuan. What is the probability that the total ticket revenue of the organizer, after the two teams have determined the winner, will not be less than 500 million yuan?

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