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) $\frac { 2 } { 9 }$

Question

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) $\frac { 2 } { 9 }$

Quizplus · Accepted Answer

The probability that both the student and the professor choose the same number from 1 to 9 is $\frac{1}{9}$ because there are 9 options and only 1 match for each choice, making the total probability of a match $\frac{1}{9}$.

A Student and a Professor Each Choose a Number Between 181\frac { 1 } { 81 }811​

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