
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 participates in a shooting practice with 4 bullets, among which one is a blank (a "blank" means a bullet without a projectile).  
(1) If Jia shoots only once, calculate the probability of the shot being a blank;  
(2) If Jia shoots a total of 3 times, calculate the probability of a blank appearing in these three shots;  
(3) If an equilateral triangle PQR with a side length of 10 is drawn on the target, and Jia, using live rounds, aims and randomly shoots at the area of triangle PQR, calculate the probability that all bullet holes are more than 1 unit away from the vertices of △PQR (ignoring the size of the bullet holes).

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