
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
From the set \(\{1, 2, 3, \cdots, 99, 100\}\), a number \(a\) is randomly selected, and then a number \(b\) is randomly selected from the same set. The probability that the last digit of \(3^a + 7^b\) is 8 is \(\qquad\) .

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