
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
Alex, Pei-Hsin, and Edward got together to send a mailing to all the invited schools. Pei-Hsin stuffs and sometimes licks the envelopes. If Alex leaves the room, Pei-Hsin has a $25 \%$ chance of dying from an allergic reaction and a $20 \%$ chance of being killed by Edward before licking the envelopes. Alex leaves the room and comes back to find Pei-Hsin dead. What is the probability that Edward was responsible?

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