
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
$(1)$ When throwing two uniformly weighted dice, let $A=$"the first time an odd number appears," $B=$"the sum of the two dice is a multiple of $3$." Determine whether events $A$ and $B$ are independent, and explain the reason;<br/>$(2)$ Athletes A and B are participating in a shooting assessment test. Each person has two chances to shoot. If at least one shot hits the target in the two attempts, the assessment is considered passed. It is known that the probability of A hitting the target is $0.7$, and the probability of B hitting the target is $0.6$. A and B's shooting do not affect each other. Find the probability that exactly one of them passes the assessment.

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