Question

To celebrate the end of your cycling tour, you enter a fun race at an assault course. It is harder than expected. Four of you enter. You are told that only one will complete the course What is the probability that you will complete the course?

Answer 1

The probability of you being the one to complete the fun race assault course among four participants is 25%, assuming each participant has an equal chance of completion.

Step-by-step explanation:

The student is asking about the probability of a single event occurring when there are multiple potential outcomes. In this scenario, you are one of four individuals entering a fun race where only one participant is expected to complete the course. The important concept to understand here is that if all participants have an equal chance of completing the course and only one can complete it, then the probability of you being the one to complete the course is the same for all participants.

Assuming each participant has an equal chance of completion, each of you would have a 1 in 4 chance, or a 25% probability, of being the one to complete the assault course. This is because there are four possible outcomes, and only one of those outcomes pertains to you personally completing the course.

The calculation is straightforward: Probability of an event = Number of favorable outcomes / Total number of possible outcomes.

Since there is only one favorable outcome for you (you completing the course), and there are four possible outcomes in total (each participant finishing), the probability is:

1 favorable outcome / 4 possible outcomes = 0.25 or 25%.