1. **State the problem:** We need to order the bags A, B, and C by their probabilities of picking a green counter from lowest to highest.
2. **Given probabilities:**
- Bag A: $P(\text{green}) = \frac{4}{5}$
- Bag B: $P(\text{green}) = \frac{11}{15}$
- Bag C: $P(\text{green}) = \frac{7}{10}$
3. **Convert all probabilities to decimals for easy comparison:**
- Bag A: $\frac{4}{5} = 0.8$
- Bag B: $\frac{11}{15} \approx 0.7333$
- Bag C: $\frac{7}{10} = 0.7$
4. **Order the decimals from lowest to highest:**
$$0.7 < 0.7333 < 0.8$$
5. **Match back to bags:**
- Lowest: Bag C ($0.7$)
- Middle: Bag B ($0.7333$)
- Highest: Bag A ($0.8$)
**Final answer:** The order from lowest to highest probability is **Bag C, Bag B, Bag A**.
Probability Ordering 5Ebbdc
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