Question

Denzel surveyed 40 students at his school about their favorite games. Out of 40 students surveyed, 16 said that football was their favorite sport.
Find the experimental probability that the next student Denzel checks will select football as his/her favorite sport.
0.3
0.4
0.5
0.6

Answer 1

To find the experimental probability that the next student Denzel checks will select football as their favorite sport, you can use the formula for experimental probability:

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

In this case:
- The number of students who said football was their favorite sport (favorable outcomes) = 16
- The total number of students surveyed = 40

So, the probability \( P \) that the next student selects football is:

\[
P = \frac{16}{40}
\]

Now, simplify the fraction:

\[
P = \frac{16 \div 8}{40 \div 8} = \frac{2}{5}
\]

Next, convert \( \frac{2}{5} \) to a decimal:

\[
\frac{2}{5} = 0.4
\]

Therefore, the experimental probability that the next student Denzel checks will select football as his/her favorite sport is \( \boxed{0.4} \).