Ateacher randomly selects one student from a group of students where 12 are wearing a black shirt, 8 are wearing a red shirt, and 12 are wearing a blue shirt.
what is the probability that the selected student is wearing a blue shirt?
enter your answer as a fraction, in simplified form, in the box.

Using the probability concept, it is found that:

There is a probability that the selected student is wearing a blue shirt.

A probability is the number of desired outcomes divided by the number of total outcomes.

In this problem, there are 12 + 8 + 12 = 32 students, of which 12 are wearing a blue shirt.

Hence, there is:

A probability that the selected student is wearing a blue shirt.

A similar problem involving the probability concept is given at link

For this case we have the following function:

To write in standard form, we follow the following steps:

Step 1:

We solve the binomial squared:

Step 2:

We combine similar terms:

the function, , in standard form is: