Question

In an upcoming race, the top 3 finishers will be recognized with the same award. Ryan is one of 12 people entered in the race.

Answer 1

Since top 3 racers recognized with the same award, answer is 3/12 or 1/4 or .25

Answer 2

Answer:  The required probability is 25%.

Step-by-step explanation:  Given that in an upcoming race, the top 3 finishers will be recognized with the same award and Ryan is one of 12 people entered in the race.

We are to find the probability that Ryan will be one of the top 3 racers, if all racers are equal in skills.

Let S denote the sample space of the experiment for selecting a racer and A denote the event of selecting the top 3 finishers.

Then, according to the given information, we have

n(S) = 12   and    n(A) = 3.

So, the probability of event A is given by

$P(A)=\dfrac{n(A)}{n(S)}=\dfrac{3}{12}=\dfrac{1}{4}\times100\%=25\%.$

Thus, the required probability is 25%.