
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
An English class in a foreign language school has two students, $A\_1$ and $A\_2$, and a Japanese class has three students, $B\_1$, $B\_2$, and $B\_3$. A total of 5 students have signed up to be Olympic volunteers, and now one student who understands English and one student who understands Japanese must be selected from among them to form a group.
(1) Write out all possible outcomes;
(2) Calculate the probability that $A\_2$ is selected.

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