
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 school held a speech contest with the theme of "Passing on Chinese family virtues and promoting Chinese moral values". Each class selected one student to participate. Xiao Li and Xiao Hua from Grade 7 (1) both performed excellently. Now they plan to select one student from the two to participate in the school speech contest. For this purpose, the following game rules were designed: There are 10 small balls in an opaque bag, all of which are the same except for the numbers. The numbers on the balls are 1, 2, 3, 4, 5, 6, 7, 8, 9, 10. They are thoroughly mixed in the bag, and one ball is randomly drawn. It is stipulated that if the number on the drawn ball is divisible by 3, Xiao Li will go; if the number on the drawn ball is divisible by 5, Xiao Hua will go. Is this game fair to both parties? Please explain the reason. If it is unfair, how should the game rules be modified to make it fair to both parties? (The principle of fairness for both parties in the game is that the probability of winning for both parties is equal).

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