
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
Given the line $l_{1}:x-2y-1=0$, and the line $l_{2}:ax-by+1=0$, where $a$, $b\in\{1,2,3,4,5,6\}$, the probability that the intersection point of line $l_{1}$ and line $l_{2}$ is located in the first quadrant is \_\_\_\_.

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