#### Solution By Steps
***Step 1: Identify Total Percentage Interested in Sports***
Given that $60\%$ of students like either soccer or basketball.
***Step 2: Determine Percentage Not Interested in Soccer***
$60\%$ of students are not interested in soccer.
***Step 3: Calculate Percentage Interested Only in Soccer***
Since $10\%$ like both soccer and basketball, and $60\%$ like either, the percentage liking only soccer is $60\% - 10\% - 60\% = -10\%$. This calculation is incorrect based on the given data. Let's correct the approach:
***Corrected Step 3: Correct Calculation for Only Soccer Interest***
If $60\%$ do not like soccer, then $40\%$ do like soccer. Subtracting the $10\%$ that like both sports, we get $40\% - 10\% = 30\%$ interested only in soccer.
#### Final Answer
$30\%$ or $0.3$
#### Key Concept
Probability
#### Key Concept Explanation
Probability in this context refers to the likelihood of a student being selected at random from the class having a specific interest, in this case, liking only soccer, based on the distribution of interests within the class.
Follow-up Knowledge or Question
What is the formula for calculating the probability of an event not happening (complement probability)?
How can you represent the information given in the problem using a Venn diagram?
What is the relationship between the probability of an event and its complement probability?
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