Subjects probability

Probability Allowance 9B6E5B

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1. **Problem:** Find the probability that a student from the sample receives an allowance. 2. **Given Data:** - Total students = 130 - Students receiving allowance = 85 3. **Formula:** Probability of an event $A$ is given by $$P(A) = \frac{\text{Number of favorable outcomes}}{\text{Total number of outcomes}}$$ 4. **Calculation:** $$P(\text{Allowance}) = \frac{85}{130}$$ 5. **Simplify the fraction:** $$P(\text{Allowance}) = \frac{\cancel{85}}{\cancel{130}} = \frac{17}{26}$$ 6. **Convert to percentage:** $$P(\text{Allowance}) = \frac{17}{26} \times 100 \approx 65.38\%$$ 7. **Interpretation:** This means about 65.38% of the students receive an allowance. **Final answer:** $$\boxed{P(\text{Allowance}) \approx 65.38\%}$$