c. Ball does not land on a number from 25 through 29 The probability of the event that the ball does not land on a number from 25 through 29 is \( \square \).

To determine the probability that the ball **does not** land on a number from **25 through 29**, we can use the **complement rule** in probability. The complement rule states that the probability of an event not occurring is equal to **1 minus the probability of the event occurring**. ### Step-by-Step Solution: 1. **Identify the total number of possible outcomes (N):** - Since the specific total number of possible outcomes isn't provided in your question, we'll assume a common scenario where there are **30 possible numbers** (for example, numbers 1 through 30). 2. **Determine the number of unfavorable outcomes:** - Numbers from **25 through 29** represent **5** distinct outcomes. 3. **Calculate the probability of landing on numbers 25 through 29:** \[ P(\text{Landing on 25-29}) = \frac{\text{Number of favorable outcomes}}{\text{Total number of possible outcomes}} = \frac{5}{30} \] 4. **Apply the Complement Rule:** \[ P(\text{Not landing on 25-29}) = 1 - P(\text{Landing on 25-29}) = 1 - \frac{5}{30} = \frac{25}{30} = \frac{5}{6} \] ### Final Answer: The probability that the ball does not land on a number from 25 through 29 is: \[ \boxed{\dfrac{5}{6}} \]