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Half Marathon Probability 2D4A63

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1. The problem asks for the probability that Juan, a student, cannot run a half-marathon. 2. From the table, the conditional relative frequencies for students are given as: - Yes: 0.1 - No: x - Total: 1.0 3. Since the total probability for a student must sum to 1, we use the formula: $$\text{Yes} + \text{No} = 1$$ 4. Substitute the known value: $$0.1 + x = 1$$ 5. Solve for $x$: $$x = 1 - 0.1$$ $$x = 0.9$$ 6. Therefore, the probability that Juan cannot run a half-marathon is $0.9$. Final answer: **0.9**