Question

CONCERT Nia and Ciro are going to a concert with their high school's key club. If they choose a seat in the row below at random, what is the
probability that Ciro will be in seat C11 and Nia will be in C12? Express your answer as a fraction in simplest form.

Answer 1

1. Consider the total number of seats in the row below, denoted as "n".

2. The probability that Ciro sits in seat C11 is 1 out of "n" because there's only one seat C11 out of "n" total seats.

3. After Ciro sits in C11, there are "n-1" remaining seats.

4. The probability that Nia sits in C12 is 1 out of "n-1" because there's only one seat C12 left out of "n-1" remaining seats.

5. Therefore, the overall probability is 1/n * 1/(n-1).

6. Simplify the expression to get the probability as a fraction in simplest form.

7. So, the probability is 1/(n(n-1)).