Question

There are 27 students each preparing a presentation. There are 3 students presenting each day. If you choose 3 students randomly, what is the probability that you choose the students presenting that day? Give your answer as an exact fraction and reduce the fraction as much as possible.

Answer 1

Given:

Total number of students = 27

Number of students presenting each day = 3

Number of students chosen = 3

Required: Probability that the students presenting that day are the chosen students.

Step-by-step explanation:

Number of ways three students can be chosen from 27 students

`\begin{gathered} =^(27)C_3 \\ =2925 \end{gathered}`

From the total 2925 combinations of three students, only one combination of students can do presentation on a day.

So, probability that the students presenting that day are the chosen students

`=(1)/(2925)`

Final Answer: Probability that the students presenting that day are the chosen students is 1/2925.