Question

There are 40 students in a course: 15 freshmen, 8 sophomores, 12 juniors, and 5 seniors. One student is selected at random to attend a workshop and report back to the class. What is the probability that the chosen student is a junior

Answer 1

Answer:

The probability that the chosen student is a junior is $\frac{3}{10}$

Step-by-step explanation:

Given,

The total number of students = 40,

In which, freshmen = 15,

Sophomores = 8,

Juniors = 12,

And, seniors = 5,

Thus, the probability that junior student when a student is chosen

$=\frac{\text{Total possible arrangement of 1 junior student }}{\text{Total possible arrangement of 1 student}}$

$=\frac{^{12}C_1}{^{40}C_1}$

$=\frac{12}{40}$

$=\frac{3}{10}$