
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
In a circuit with two independently controlled automatic switches connected in parallel, the probability that the circuit can operate normally is given that one of the switches can close, and the probabilities of the switches being able to close are $0.5$ and $0.7$ respectively, calculate this probability.

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