
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
Person A and person B each randomly choose one club to join from the 5 clubs of "basketball," "soccer," "volleyball," "swimming," and "gymnastics." They join different clubs. The probability that they both join clubs related to ball sports is ______.

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