In a lottery, there are `10` prizes and `20` blanks. A ticket is chosen at random. What is the probability of getting a prize?

Options

A. `1/3`
B. `2/3`
C. `1/4`
D. `1/5`

Answer

To solve the problem of finding the probability of getting a prize in a lottery with 10 prizes and 20 blanks, we can follow these steps:

### Step-by-Step Solution:

1. **Identify the number of prizes and blanks**:
- Prizes = 10
- Blanks = 20

2. **Calculate the total number of outcomes**:
- Total outcomes = Number of prizes + Number of blanks
- Total outcomes = 10 + 20 = 30

3. **Identify the number of favorable outcomes**:
- Favorable outcomes (getting a prize) = Number of prizes = 10

4. **Use the probability formula**:
- The probability of an event is given by the formula:
\[ \text{Probability} = \frac{\text{Favorable outcomes}}{\text{Total outcomes}} \]
- In this case, the probability of getting a prize is:
\[ \text{Probability of getting a prize} = \frac{10}{30} \]

5. **Simplify the fraction**:
- Simplifying \(\frac{10}{30}\) gives us:
\[ \frac{10 \div 10}{30 \div 10} = \frac{1}{3} \]

6. **State the final answer**:
- Therefore, the probability of getting a prize is \(\frac{1}{3}\).

### Final Answer:
The probability of getting a prize is \(\frac{1}{3}\).