Probability of Selecting Students

In a class, there are 10 students. Each student has an equal chance of being selected to answer a question during a quiz. What is the probability that exactly 3 out of the 10 students will be selected to answer one question? You can assume that each selection is independent.

Use the binomial probability formula:

$$ P(X = k) = {n race k} p^k (1 - p)^{n - k} $$

where:

• $$ n $$ is the total number of trials (students).
• $$ k $$ is the number of successful trials (selections).
• $$ p $$ is the probability of success on an individual trial.

For this problem, assume that the probability of selecting a student is $$ p = 0.1 $$.

Please provide your answer in decimal form.