
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 winter camp at a school has three male students ($A$), ($B$), ($C$) and three female students ($X$), ($Y$), ($Z$).

1. Two people are selected from the six to participate in a knowledge competition. Calculate the probability that both selected individuals are male.
2. If one person is chosen from the three male students and one person is chosen from the three female students, calculate the probability that the two selected individuals include ($A$) but not ($X$).

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