Subjects probability

Experimental Probability 6E070F

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1. **State the problem:** Sanja made 8 successful holes-in-one and missed 4 times, so we want to find how many holes-in-one she should expect to make if she attempts 24 holes. 2. **Formula:** Experimental probability is calculated as the ratio of successful outcomes to total attempts: $$\text{Probability} = \frac{\text{Number of successes}}{\text{Total attempts}}$$ 3. **Calculate the probability of success:** $$\text{Probability} = \frac{8}{8+4} = \frac{8}{12}$$ 4. **Simplify the fraction:** $$\frac{8}{12} = \frac{\cancel{4} \times 2}{\cancel{4} \times 3} = \frac{2}{3}$$ 5. **Expected number of successes in 24 attempts:** $$\text{Expected successes} = \text{Probability} \times \text{Number of attempts} = \frac{2}{3} \times 24$$ 6. **Calculate:** $$\frac{2}{3} \times 24 = 2 \times \frac{24}{3} = 2 \times 8 = 16$$ **Final answer:** Sanja should expect to make 16 holes-in-one out of 24 attempts.