Female Probability 84E395
1. **Problem Statement:**
Find the probability that a randomly selected student is female given the data:
| Transport | Male | Female | Total |
|-----------|------|--------|-------|
| Bicycle | 20 | 10 | 30 |
| Car | 25 | 15 | 40 |
2. **Formula:**
Probability of an event = \( \frac{\text{Number of favorable outcomes}}{\text{Total number of outcomes}} \)
3. **Step 1: Calculate total number of students**
\[ \text{Total} = 30 + 40 = 70 \]
4. **Step 2: Calculate total number of females**
\[ \text{Females} = 10 + 15 = 25 \]
5. **Step 3: Calculate probability that a randomly selected student is female**
\[ P(\text{Female}) = \frac{25}{70} = \frac{5}{14} \approx 0.357 \]
**Final answer:**
\[ P(\text{Female}) = \frac{5}{14} \approx 0.357 \]