Subjects probability

Coin Toss Probability E95198

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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%.