A Student and a Professor Each Choose a Number Between $\frac { 1 } { 81 }$

Multiple Choice

A student and a professor each choose a number between 1 and 9 (1 and 9 are both possible choices) . What is the probability that the two choose the same number?

A) $\frac { 1 } { 81 }$
B) $\frac { 1 } { 9 }$
C) $\frac { 2 } { 81 }$
D) $\frac { 2 } { 9 }$