Subjects probability

Expected Discount D1B065

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1. **State the problem:** We want to find how many customers out of 260 are expected to receive either 15% or 25% off their order when spinning a spinner divided into 8 sections with various discounts. 2. **Identify the relevant sections:** The spinner has 8 sections total. The discounts 15% OFF and 25% OFF each occupy 1 section. 3. **Calculate the probability of landing on 15% or 25% OFF:** $$\text{Probability} = \frac{\text{Number of favorable sections}}{\text{Total sections}} = \frac{1 + 1}{8} = \frac{2}{8} = \frac{1}{4}$$ 4. **Calculate the expected number of customers:** $$\text{Expected customers} = \text{Total customers} \times \text{Probability} = 260 \times \frac{1}{4}$$ 5. **Simplify the multiplication:** $$260 \times \frac{1}{4} = \frac{260}{4} = 65$$ 6. **Interpretation:** About 65 customers out of 260 can be expected to receive either 15% or 25% off their order. 7. **Check your answer:** You stated 65, which is correct!