
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 an eighth grade, the name Alexander is three times more common than the name Alexandra, the name Yevgeny is three times more common than the name Evgenia, the name Valentin is 1.5 times more common than the name Valentina, and the name Vasily is 49 times more common than the name Vasilisa. One day, a randomly chosen group of four eighth graders, who we only know are named Sasha, Zhenya, Valya, and Vasya, cast lots. Find the probability that the lot was won by a female student instead of a male student.

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