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?

Responses



3 4



4 7

Answer 1

To find the probability that a randomly chosen student from Marco's class will be a boy, we can use the formula for probability:

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

In this case:

- The number of boys (favorable outcomes) = 12
- The total number of students in the class = Number of boys + Number of girls = 12 + 16 = 28

Now we can calculate the probability:

\[
\text{Probability of choosing a boy} = \frac{12}{28}
\]

To simplify this fraction, we can divide both the numerator and the denominator by 4:

\[
\frac{12 \div 4}{28 \div 4} = \frac{3}{7}
\]

So the probability that a student chosen at random will be a boy is \(\frac{3}{7}\).

The correct response is \(\frac{3}{7}\).