1. **State the problem:** We need to find the conditional probability $P(D|C)$, which is the probability of event $D$ occurring given that event $C$ has occurred.
2. **Formula:** The conditional probability is given by
$$P(D|C) = \frac{P(D \cap C)}{P(C)}$$
where $P(D \cap C)$ is the probability that both $D$ and $C$ occur, and $P(C)$ is the probability that $C$ occurs.
3. **Identify values from the table:** From the table,
- $P(D \cap C) = 0.05$
- $P(C) = 0.30$
4. **Calculate $P(D|C)$:**
$$P(D|C) = \frac{0.05}{0.30}$$
5. **Simplify the fraction:**
$$P(D|C) = \frac{\cancel{0.05}}{\cancel{0.30}} = \frac{1}{6} \approx 0.1667$$
6. **Round to two decimal places:**
$$P(D|C) \approx 0.17$$
**Final answer:**
$$\boxed{0.17}$$
Conditional Probability E028B4
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