
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
Jia and Yi are playing a guessing game with the following rules: It is known that there are five cards, each with the numbers $1-\left( \frac{1}{2} \right)^n$ ($n\in \mathbf{N}^*, 1\leqslant n\leqslant 5$) written on them. Now, Jia and Yi each randomly draw one card and then try to guess who has the larger number based on the number they drew. After looking at his number, Jia thinks for a moment and says: "I don't know who has the larger number"; after hearing Jia's judgment, Yi thinks for a moment and says: "I also don't know who has the larger number." Assuming that the reasoning made by Jia and Yi is correct, then the number Yi holds is $\boxed{\frac{7}{8}}$.

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