According to the trading plan and a win rate of 90%, the calculations are as follows:
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### **Expected Profit Analysis for Each Group**
Each group has an initial capital of **$300**, daily trading profit and loss rules:
- **Successful Path** (needs to be profitable for 3 consecutive days):
- Day 1 profit: $300 → $600
- Day 2 profit: $600 → $1200
- Day 3 profit: $1200 → $2400
- **Final Profit**: $2400 - $300 = **$2100**
- **Probability**: \(0.9^3 = 0.729\)
- **Failure Path** (terminates with a loss on any day, losing $300):
- Day 1 loss probability: \(0.1\)
- Day 2 loss probability: \(0.9 \times 0.1 = 0.09\)
- Day 3 loss probability: \(0.9^2 \times 0.1 = 0.081\)
- **Total Failure Probability**: \(0.1 + 0.09 + 0.081 = 0.271\)
- **Loss**: $300
**Expected Profit for Each Group**:
\[
(0.729 \times 2100) + (0.271 \times -300) = 1530.9 - 81.3 = 1449.6 \ \text{USD}
\]
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### **Total Expected Profit for 10 Groups**
\[
1449.6 \times 10 = 14,\!496 \ \text{USD}
\]
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**Answer**: A trader with a win rate of 90% is expected to profit approximately **$14,500** after 10 groups of trades.