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.
Experimental Probability 6E070F
Step-by-step solutions with LaTeX - clean, fast, and student-friendly.