
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
First \(a\) is chosen at random from the set \(\{1,2,3,\cdots,98,99\}\), and then \(b\) is chosen at random from the same set. Find the probability that the integer \(3^a + 7^b\) has units digit \(9\).
A) \(\frac{1}{5}\)
B) \(\frac{25}{99}\)
C) \(\frac{3}{16}\)
D) \(\frac{1}{4}\)

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