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 $$ \square $$.

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To determine the probability that the ball **does not** land on a number from **25 through 29**, we can use the concept of complementary probability. Here's how you can approach it:

### Step-by-Step Solution

1. **Identify the Total Number of Possible Outcomes (N):**
   
   Let's assume that the ball can land on any number within a certain range. For the sake of this explanation, we'll denote the total number of possible outcomes as $$ N $$.

2. **Determine the Number of Unfavorable Outcomes:**
   
   The numbers **25 through 29** represent **5** specific outcomes (i.e., 25, 26, 27, 28, 29).

3. **Calculate the Probability of Landing on Numbers 25 through 29:**
   
   $$
   P(\text{Landing on } 25 \text{ through } 29) = \frac{5}{N}
   $$

4. **Use Complementary Probability to Find the Desired Probability:**
   
   The probability that the ball does **not** land on a number from 25 through 29 is the complement of landing on those numbers. Therefore:
   
   $$
   P(\text{Does not land on } 25 \text{ through } 29) = 1 - P(\text{Landing on } 25 \text{ through } 29)
   $$
   
   Substituting the value from step 3:
   
   $$
   P(\text{Does not land on } 25 \text{ through } 29) = 1 - \frac{5}{N} = \frac{N - 5}{N}
   $$

### Final Answer

The probability that the ball does **not** land on a number from **25 through 29** is:

$$
\boxed{\frac{N - 5}{N}}
$$

*Where $$ N $$ is the total number of possible outcomes.*

### Example

If, for example, the ball can land on any number from **1 through 30** (i.e., $$ N = 30 $$):

$$
P(\text{Does not land on } 25 \text{ through } 29) = \frac{30 - 5}{30} = \frac{25}{30} = \frac{5}{6}
$$

So, the probability would be $$ \frac{5}{6} $$ in this case.

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*Please replace $$ N $$ with the actual total number of possible outcomes specific to your problem to get a numerical probability.*
The probability that the ball does not land on a number from 25 through 29 is $$ \frac{N - 5}{N} $$, where $$ N $$ is the total number of possible outcomes.

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 \( \square \).

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