
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
At Hongyang High School, there is a basketball team with two members, A and B. It is known that the probabilities of A and B hitting a shot are $\frac{1}{2}$ and $\frac{1}{3}$, respectively. Now, the two of them each take a shot in a competition. Assuming that whether one hits the shot does not affect the other, the probability that at least one of them hits the shot is ______.

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