Subjects probability

Bus Senior 3A813D

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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:** $$P(\text{bus} \mid \text{senior}) = 0.14$$