### Instruction: Rodney uses the following clues to try to guess a secret number:
\begin{tabular}{ c }
It is a two-digit integer.\\
The tens digit is odd.\\
The units digit is even.\\
The number is greater than 65.
\end{tabular}If Rodney guesses a number that has each of these properties, what is the probability that Rodney will guess the correct number? Express your answer as a common fraction.### Response: I need to find the total number of possible numbers that fit the clues, and then the number of ways to guess the correct one.
Since the tens digit is odd, it can only be 7 or 9, because the number is greater than 65.
For each odd tens digit, there are five possible even units digits: 0, 2, 4, 6, and 8.
So the total number of possible numbers is 2 times 5, or 10.
The correct number is one of these 10 numbers, so the probability of guessing it is 1 out of 10, or 1/10.