Question

In a class election, 20 students voted for Alex, 15 voted for Jordan, and 5 voted for Sam. What is the experimental probability of a student voting for Sam? Write your answer as a fraction in simplest form.(1 point)
Responses

18
1 eighth

14
1 fourth

15
1 fifth

16
1 sixth

Answer 1

To find the experimental probability of a student voting for Sam, we first need to determine the total number of votes and then find the ratio of the number of votes Sam received to the total votes.

The total votes are:
- Votes for Alex: 20
- Votes for Jordan: 15
- Votes for Sam: 5

Total votes = 20 + 15 + 5 = 40

Now, the probability \( P \) of a student voting for Sam is given by:

\[
P(\text{Sam}) = \frac{\text{Votes for Sam}}{\text{Total votes}} = \frac{5}{40}
\]

Now, we simplify the fraction:

\[
\frac{5}{40} = \frac{1}{8}
\]

Thus, the experimental probability of a student voting for Sam is \( \frac{1}{8} \).

The correct response is:

**1 eighth**