1. **State the problem:** We need to find the conditional relative frequency that a hiker has a backpack given that the hiker has a water bottle.
2. **Recall the formula for conditional relative frequency:**
$$P(\text{Backpack} \mid \text{Water Bottle}) = \frac{P(\text{Backpack and Water Bottle})}{P(\text{Water Bottle})}$$
3. **Identify values from the table:**
- $P(\text{Backpack and Water Bottle}) = 0.59$
- $P(\text{Water Bottle}) = 0.8$
4. **Calculate the conditional relative frequency:**
$$P(\text{Backpack} \mid \text{Water Bottle}) = \frac{0.59}{0.8}$$
5. **Show intermediate step with cancellation:**
$$P(\text{Backpack} \mid \text{Water Bottle}) = \frac{\cancel{0.59}}{\cancel{0.8}} = 0.7375$$
6. **Round to the nearest hundredth:**
$$0.7375 \approx 0.74$$
7. **Convert to percent:**
$$0.74 \times 100 = 74\%$$
**Final answers:**
- Decimal approximation: 0.74
- Percent approximation: 74%
Conditional Frequency 6C9D1E
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