
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
In a mathematics exam, questions 14 and 15 are optional, with the rule that each examinee must choose and can only choose one question to answer. Assuming the probability that any of the 4 examinees chooses either question is $\frac{1}{2}$. The probability that examinees A and B choose the same question is ______.

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