Did you know?
Did you know that in a 10K race with six runners, there can be 720 different ways for the race to be completed? This is because for each position, there are 6 possible runners who could finish in that place.
If we specifically want to know how many ways a runner can finish first and another runner can finish second, the answer would be 30. This is because each runner has 5 remaining runners to compete against for the second place.
Now, to calculate the probability that runner A finishes first and runner C finishes second, we need to know the total possible outcomes. As stated before, there are 720 ways the race can be completed. Since we want runner A to finish first, we have fixed one position. So, the remaining 5 runners can finish in any order, leading to a total of 120 different orders. Out of these, we want runner C to finish second, so there is only one specific order that satisfies this condition.
Therefore, the probability that runner A finishes first and runner C finishes second is 1/120, or approximately 0.0083.
