
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 class has two extracurricular activity groups. The first group has 6 football tickets and 4 volleyball tickets; the second group has 4 football tickets and 6 volleyball tickets. Person A randomly draws 1 ticket from the 10 tickets of the first group, and person B randomly draws 1 ticket from the 10 tickets of the second group.

(1) What is the probability that both people draw football tickets?

(2) What is the probability that at least one of them draws a football ticket?

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