Question

There are twelve contestants in an obstacle course race. You and your friend are two of the contestants. Contestants run the course one at a time and the order in which the contestants run the course is chosen at random. Find the probability that you go first and your friend goes second. Write your answer as a fraction in simplest form.

Answer 1

`P=(1)/(132)`

Explanation:

If there are twelve contestants, the number of ways in which they can select the first and second turn can be calculated using the rule of multiplication as:

12 * 11 = 132

1st turn 2nd turn

Because, they are going to have 12 contestants for the first turn and then they are going to have 11 contestants for the second.

On the other hand, 1 of these options is that you go first and your friend goes second, so the probability that this happens is equal to:

`P=(1)/(132)`