Let's solve this problem step-by-step.
1. Understand the Problem:
- Chris played an arcade game 5 times in total.
- Out of these 5 games, Chris won 3 times and lost 2 times.
- We need to find the relative frequency of Chris losing, and express it as a fraction.
2. Determine Given Data:
- Total number of games played: 5
- Number of times Chris lost: 2
3. Calculate Relative Frequency:
- The relative frequency is the number of times a specific event occurs divided by the total number of observations (games played in this case).
Therefore, the relative frequency of Chris losing is:
[tex]\[
\text{Relative Frequency of Losing} = \frac{\text{Number of Losses}}{\text{Total Number of Games}}
\][/tex]
4. Substitute the Given Values:
[tex]\[
\text{Relative Frequency of Losing} = \frac{2}{5}
\][/tex]
5. Express the answer correctly:
- The relative frequency of Chris losing, expressed as a fraction, is already in its simplest form because 2 and 5 have no common divisors other than 1.
So, the relative frequency of Chris losing is:
[tex]\[
\boxed{\frac{2}{5}}
\][/tex]
