
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
Two people, A and B, participate in a general knowledge competition, with a total of 4 different questions, including 2 multiple-choice questions and 2 true/false questions. A and B each draw one question (without repetition).  
$(1)$ What is the probability that A draws a multiple-choice question and B draws a true/false question?  
$(2)$ What is the probability that at least one of A and B draws a multiple-choice question?

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