
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
Two scientists were both born in the last 600 years. One lives to be 110 years old, and the other lives to be 90 years old, then each dies. Each scientist is equally likely to be born at any point during those 600 years. What is the probability that they were contemporaries for any length of time?

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