
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
Suppose the probabilities of three shooters, A, B, and C, hitting a target with each shot are 0.7, 0.6, and 0.5, respectively. Each of them shoots at the target once. Calculate the probability that at least one person hits the target and the probability that exactly two people hit the target.

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