E 25 22 7 Pada suatu kelas 60 murid suka sepak bola atau basket Jika 10 murid suka keduanya dan 60 tidak sepak bola berapakah peluang seorang siswa terpilih secara acak menyukai hanya sepak bola saja...

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(E) $\frac{25+\sqrt{2}}{2}$ 7. Pada suatu kelas, $60 \%$ murid suka sepak bola atau basket. Jika $10 \%$ murid suka keduanya dan $60 \%$ tidak sepak bola, berapakah peluang seorang siswa terpilih secara acak menyukai hanya sepak bola saja? (A) 0,5

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#### 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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