
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 school wants to select 2 volunteers from 4 calligraphy competition first-prize winners and 2 painting competition first-prize winners to participate in the service work for the Asian Games in Guangzhou. Calculate:
(1) The probability that both selected volunteers are from the calligraphy competition first-prize winners;
(2) The probability that one of the selected volunteers is a calligraphy competition first-prize winner and the other is a painting competition first-prize winner.

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