1. **State the problem:** We want to find the experimental probability of tossing two heads and one tail in any order based on the given simulation data.
2. **Identify outcomes with two heads and one tail:** These are HHT, HTH, and THH.
3. **Sum the frequencies of these outcomes:**
$$45 \text{ (HTH)} + 34 \text{ (HHT)} + 65 \text{ (THH)} = 28 + 34 + 65 = 127$$
4. **Calculate the total number of trials:** Sum all frequencies:
$$45 + 28 + 34 + 65 + 72 + 66 + 35 + 55 = 400$$
5. **Calculate the experimental probability:**
$$P = \frac{127}{400}$$
6. **Simplify the fraction if possible:**
$$\frac{127}{400}$$ cannot be simplified further since 127 is prime.
7. **Interpretation:** The experimental probability of tossing two heads and one tail in any order is $\frac{127}{400} = 0.3175$ or 31.75%.
Coin Toss Probability E95198
Step-by-step solutions with LaTeX - clean, fast, and student-friendly.