
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 shooters are shooting at the same target. The first shooter hits the target with a probability of 0.8, and the second shooter hits the target with a probability of 0.6. The first shooter fires twice, and the second shooter fires three times. What is the probability that:

a) At least one of them hits the target?

b) The first shooter hits the target once and the second shooter hits the target twice?

c) At least one of the shooters hits the target twice?

d) Only one bullet hits the target?

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