
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
The probability of hitting the target by the first shooter is \( p_{1} \), and by the second shooter is \( p_{2} \). The shooters fired simultaneously. What is the probability that:

a) both shooters hit the target;

b) only one shooter hits the target;

c) at least one shooter hits the target?

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