Subjects probability

Female Probability 84E395

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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:** \[ P(\text{Female}) = \frac{5}{14} \approx 0.357 \]