
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
Rodney is trying to guess a secret number based on these clues:
1. It is a two-digit integer.
2. The tens digit is even.
3. The units digit is odd.
4. The number is greater than 75.

Calculate the probability that Rodney guesses the correct number, expressed as a common fraction.

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