1. **State the problem:** We want to find the fraction of days when it actually hailed and Leon's prediction was correct.
2. **Identify relevant data:** From the frequency tree:
- Total days = 53
- Days predicted hail = 27
- Days predicted no hail = 26
- Days it actually hailed and predicted hail = 14
- Days it actually hailed and predicted no hail = 21
3. **Understand the question:** We want the fraction of days when it hailed that Leon predicted hail correctly.
4. **Calculate total days it hailed:**
$$\text{Total hail days} = 14 + 21 = 35$$
5. **Calculate fraction of correct hail predictions:**
$$\text{Fraction} = \frac{\text{Days predicted hail and actually hailed}}{\text{Total hail days}} = \frac{14}{35}$$
6. **Simplify the fraction:**
$$\frac{14}{35} = \frac{2}{5}$$
**Final answer:** The fraction of days when it hailed and Leon's prediction was correct is $\frac{2}{5}$.
Hail Prediction 40D3Ac
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