A computerized lock code consists of $3$ characters. The first

character can be any one$-$digit number except zero; the second

character can be any one$-$digit number; and the third character can

be any letter of the alphabet. $($For$,$ example $37$ U is a possible code.$)$

Your coworker calls you to reveal the code, but due to poor

reception, you are able to hear only the first two characters. If you

know that the last character has to be a letter, what is the probability

that you can guess the final letter of the code on your first try?

Express your answer as a decimal rounded to three decimal places.