1. **Problem statement:** Find the probability that a randomly selected patio table is Blue or Small.
2. **Given data:**
- Total tables: 58
- Blue tables: 19
- Small tables: 19
- Small and Blue tables: 2
3. **Formula used:**
The probability of A or B is given by the formula:
$$P(A \cup B) = P(A) + P(B) - P(A \cap B)$$
where:
- $P(A)$ is the probability of event A (Blue tables),
- $P(B)$ is the probability of event B (Small tables),
- $P(A \cap B)$ is the probability of both A and B (Small and Blue tables).
4. **Calculate each probability:**
$$P(Blue) = \frac{19}{58}$$
$$P(Small) = \frac{19}{58}$$
$$P(Small \cap Blue) = \frac{2}{58}$$
5. **Apply the formula:**
$$P(Blue \cup Small) = \frac{19}{58} + \frac{19}{58} - \frac{2}{58} = \frac{19 + 19 - 2}{58} = \frac{36}{58}$$
6. **Simplify the fraction:**
$$\frac{36}{58} = \frac{\cancel{2} \times 18}{\cancel{2} \times 29} = \frac{18}{29}$$
7. **Convert to decimal:**
$$\frac{18}{29} \approx 0.6207$$
**Final answer:** The probability that the patio table is Blue or Small is approximately **0.6207**.
Blue Or Small 0D5A14
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