1. **State the problem:** We want to find the probability that a randomly chosen student prefers pizza given that the student is female.
2. **Identify the formula:** The conditional probability formula is
$$P(A|B) = \frac{P(A \cap B)}{P(B)}$$
where $A$ is the event "prefers pizza" and $B$ is the event "is female".
3. **Extract data from the table:**
- Number of females who prefer pizza: 119
- Total number of females: $219 + 192 + 119 = 530$
4. **Calculate the conditional probability:**
$$P(\text{pizza} | \text{female}) = \frac{119}{530}$$
5. **Simplify the fraction:**
$$\frac{119}{530} = \frac{\cancel{119}}{\cancel{530}} \approx 0.2245$$
6. **Convert to percentage and round:**
$$0.2245 \times 100 = 22.45\% \approx 22.5\%$$
**Final answer:** The probability that a randomly chosen female student prefers pizza is approximately **22.5%**.
Conditional Probability 8B8Fb5
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