
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
Write the names of three attractions, $A$, $B$, and $C$, on the front of three identical opaque cards, mix them up, and place them face down on the table.<br/>$(1)$ If one card is randomly drawn, the probability of drawing the card with the name $A$ is ________; <br/>$(2)$ If one card is first randomly drawn, then replaced and mixed again, and another card is randomly drawn, use a list or tree diagram to find the probability of drawing at least one card with the name $B$ among the two cards drawn.

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