In a lottery 10000 tickets are sold and ten equal prizes are awarded. What is the probability of not getting a prize, if you buy one ticket?

Options

A. `9//10000`
B. `9//10`
C. `999//1000`
D. `9999//10000`

Answer

To solve the problem step by step, we can follow these instructions:

### Step 1: Understand the total number of tickets and prizes
In this lottery, a total of 10,000 tickets are sold, and there are 10 prizes awarded.

### Step 2: Calculate the probability of winning a prize
To find the probability of winning a prize when you buy one ticket, we use the formula for probability:

\[ P(\text{winning}) = \frac{\text{Number of winning tickets}}{\text{Total number of tickets}} = \frac{10}{10000} = \frac{1}{1000} \]

### Step 3: Calculate the probability of not winning a prize
The probability of not winning a prize is the complement of the probability of winning a prize. We can calculate it as follows:

\[ P(\text{not winning}) = 1 - P(\text{winning}) = 1 - \frac{1}{1000} = \frac{999}{1000} \]

### Step 4: Finalize the answer
Thus, the probability of not getting a prize if you buy one ticket is:

\[ \frac{999}{1000} \]

### Summary of the solution:
The probability of not getting a prize when you buy one ticket in this lottery is \(\frac{999}{1000}\).

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