1. **State the problem:** We have a survey of 150 college students. Among them, 60 subscribe to Netflix, 45 subscribe to Disney+, and 15 subscribe to both Netflix and Disney+.
2. **Find the probability that a person subscribes to Netflix given they subscribe to Disney+.**
3. **Recall the formula for conditional probability:**
$$P(A|B) = \frac{P(A \cap B)}{P(B)}$$
where $A$ is the event "subscribes to Netflix" and $B$ is the event "subscribes to Disney+".
4. **Calculate the probabilities:**
- Total number of students: $150$
- Number subscribing to Netflix: $60$
- Number subscribing to Disney+: $45$
- Number subscribing to both: $15$
5. **Calculate $P(A \cap B)$:**
$$P(A \cap B) = \frac{15}{150} = \frac{1}{10}$$
6. **Calculate $P(B)$:**
$$P(B) = \frac{45}{150} = \frac{3}{10}$$
7. **Apply the conditional probability formula:**
$$P(A|B) = \frac{P(A \cap B)}{P(B)} = \frac{\frac{1}{10}}{\frac{3}{10}} = \frac{1}{10} \times \frac{10}{3} = \frac{1}{3}$$
8. **Interpretation:** Given that a student subscribes to Disney+, the probability that they also subscribe to Netflix is $\frac{1}{3}$.
**Final answer:**
$$\boxed{\frac{1}{3}}$$
Conditional Probability Bc87Fc
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