
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 multiple-choice question in a math exam, students can choose at least one option from $A$, $B$, $C$, $D$, and at most four options. The scoring rules are as follows: "5 points for all correct answers, 2 points for partially correct answers, and 0 points for any wrong answers." It is known that the correct answer to a certain question is $CD$. If a student does not know how to solve the question and randomly selects one or two options, the probability that the student can score is ____.

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