1. **State the problem:** We want to find the probability that a student rides the bus given that they are a senior.
2. **Recall the formula for conditional probability:**
$$P(\text{bus} \mid \text{senior}) = \frac{P(\text{bus and senior})}{P(\text{senior})}$$
3. **Identify values from the table:**
- Number of seniors who ride the bus = 5
- Total number of seniors = 35
4. **Calculate the probability:**
$$P(\text{bus} \mid \text{senior}) = \frac{5}{35}$$
5. **Simplify the fraction:**
$$\frac{5}{35} = \frac{\cancel{5}}{\cancel{35}} = \frac{1}{7}$$
6. **Convert to decimal and round to nearest hundredth:**
$$\frac{1}{7} \approx 0.142857 \approx 0.14$$
**Final answer:**
$$P(\text{bus} \mid \text{senior}) = 0.14$$
Bus Senior 3A813D
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