Probability Invoiving one dle or choosing from n distinct objects A box contains ten cards labeled \( J, K, L, M, N, O, P, Q, R \), and \( S \). One card will be randomly chosen. What is the probability, of choosing a letter from \( L \) to \( Q \) ? Write your answer as a fraction in simplest form.

To determine the probability of choosing a letter from \( L \) to \( Q \) in the box, follow these steps: 1. **List the Total Possible Outcomes:** The box contains 10 distinct cards labeled: \( J, K, L, M, N, O, P, Q, R, S \). 2. **Identify the Favorable Outcomes:** The letters from \( L \) to \( Q \) are: \( L, M, N, O, P, Q \). This gives us **6 favorable outcomes**. 3. **Calculate the Probability:** \[ \text{Probability} = \frac{\text{Number of Favorable Outcomes}}{\text{Total Number of Possible Outcomes}} = \frac{6}{10} \] 4. **Simplify the Fraction:** \[ \frac{6}{10} = \frac{3}{5} \] **Final Answer:** \(\boxed{\dfrac{3}{5}}\)