
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
A master services 5 machines. He spends $20\%$ of his working time at the first machine, 10\% at the second machine, 15\% at the third machine, 25\% at the fourth machine, and 30\% at the fifth machine. Find the probability that at a randomly chosen moment, he is located: 1) at the first or third machine; 2) at the second or fifth machine; 3) at the first or fourth machine; 4) at the first, second, or third machine; 5) at the fourth or fifth machine.

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