
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
A student representative is to be selected from a class consisting of boys, girls, and others. Each student is equally likely to be chosen. The probability that a boy is chosen is $\frac{1}{2}$ of the probability that an other is chosen. Furthermore, the probability that a girl is chosen is the difference between the probability of a boy and an other being chosen. What is the ratio of the number of boys to the total number of students in the class?
A) $\frac{1}{4}$
B) $\frac{1}{2}$
C) $\frac{3}{4}$
D) $\frac{1}{3}$
E) $\frac{2}{3}$

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