Question

There are 12 boys and 16 girls in Marco's class (including Marco).What is the probability that a student chosen at random from Marco's class will be a boy?

Answer 1

To determine the probability that a student chosen at random from Marco's class will be a boy, we first need to calculate the total number of students in the class.

There are 12 boys and 16 girls, so the total number of students is:

\[
12 \text{ boys} + 16 \text{ girls} = 28 \text{ students}
\]

Next, the probability of selecting a boy can be calculated using the formula:

\[
\text{Probability} = \frac{\text{Number of favorable outcomes}}{\text{Total number of outcomes}}
\]

In this case, the number of favorable outcomes (the number of boys) is 12, and the total number of outcomes (the total students) is 28.

So the probability \(P\) that a randomly chosen student is a boy is:

\[
P(\text{boy}) = \frac{12}{28}
\]

We can simplify this fraction:

\[
\frac{12}{28} = \frac{3}{7}
\]

Thus, the probability that a student chosen at random from Marco's class will be a boy is:

\[
\frac{3}{7}
\]