A class of 25 students includes 10 who play soccer, 8 who play basketball, and 7 who play neither sport. What is the probability of randomly selecting a student who does not play soccer?

Rationale

The probability of randomly selecting a student who does not play soccer is 0.6.

To find the probability of selecting a student who does not play soccer, we first determine the number of students who play soccer and those who do not. With 10 students playing soccer out of a total of 25, this means 15 students do not play soccer (25 total students - 10 soccer players). Therefore, the probability is 15 out of 25, which simplifies to 0.6.

A (0.3) YOUR ANSWER

This option represents only 3 out of 10 students, which does not align with the total number of students who do not play soccer. The correct calculation shows that 15 students do not play soccer, making this choice incorrect.

B (0.4) YOUR ANSWER

This implies 4 out of 10 students, which again does not reflect the correct count of students who do not play soccer. The proper calculation shows that 15 out of 25 students do not participate in soccer, making this choice also incorrect.

C (0.5) YOUR ANSWER

Selecting 0.5 indicates that 5 out of 10 students do not play soccer, which is not accurate. In reality, 15 students do not engage in soccer, which leads to a probability of 0.6. Hence, this choice is incorrect.

D (0.6) CORRECT

This option correctly calculates the probability of selecting a student who does not play soccer, as there are 15 students who do not out of a total of 25. Thus, the probability is accurately represented as 0.6.

Conclusion

In this scenario, the probability of selecting a student who does not play soccer is derived from the total count of students and those engaged in soccer. Since 15 out of 25 students do not participate in soccer, the correct probability is 0.6. This calculation underscores the importance of accurate counting in probability assessments, ensuring clear understanding of the student distribution in the class.

A class of 25 students includes 10 who play soccer, 8 who play basketball, and 7 who play neither sport. What is the probability of randomly selecting a student who does not play soccer?

The probability of randomly selecting a student who does not play soccer is 0.6.

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