
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
Let p be the probability of selecting a girl, then \(\frac{2}{3}\)p is the probability of selecting a boy. Since every student has an equal chance of being selected, the sum of the probabilities of selecting a boy and a girl must be 1, and the number of boys is \(\frac{2}{3}\) the number of girls. Write an equation to represent the relationship between the number of boys, the number of girls, and the total number of students in the class, and then express the ratio of the number of boys to the total number of students.

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