Question

There are 45 students in a class. One student is selected for the best student award. What is the probability that a particular student is selected for this award?

Answer 1

Let the particular student be named A.

There are total 45 students, so the number of students other than A will be 44.

The experiment is to select a student.

Favourable event: The particular student is selected, that is, A gets selected.

There is only 1 way to select A from the total students.

The probability of any event is given by,

`\text{Probability}=\frac{\text{ Number of favourable outcomes}}{\text{ Number of total outcomes}}`

So the probability that the particular student (A) is selected is given by,

`\begin{gathered} P(A\text{ is selected})=(1)/(45)*100\text{ percent} \\ P(A\text{ is selected})=2.22\text{ percent} \end{gathered}`

Thus, the required probability is 2.22% approximately.

Therefore, the 4th option is the correct choice.