There are 15 prizes and 25 blaks in a lottery. Find the probability of getting a prize on one ticket.

Explanation

To find the probability of getting a prize on one ticket in a lottery with 15 prizes and 25 blanks, we can follow these steps:

### Step 1: Identify the total number of outcomes
In this lottery, there are two types of outcomes: prizes and blanks. We have:
- Number of prizes = 15
- Number of blanks = 25

To find the total number of outcomes, we add the number of prizes and the number of blanks:
\[ \text{Total outcomes} = \text{Number of prizes} + \text{Number of blanks} = 15 + 25 = 40 \]

### Step 2: Identify the number of favorable outcomes
The favorable outcomes are the number of prizes available, which is given as:
\[ \text{Favorable outcomes} = \text{Number of prizes} = 15 \]

### Step 3: Calculate the probability
The probability of an event is defined as the number of favorable outcomes divided by the total number of outcomes. Therefore, the probability \( P \) of getting a prize on one ticket is calculated as follows:
\[ P(\text{getting a prize}) = \frac{\text{Number of favorable outcomes}}{\text{Total outcomes}} = \frac{15}{40} \]

### Step 4: Simplify the probability
Now, we simplify the fraction \( \frac{15}{40} \):
\[ \frac{15}{40} = \frac{3}{8} \]

### Final Answer
Thus, the probability of getting a prize on one ticket is:
\[ \boxed{\frac{3}{8}} \]

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