1000 tickets of a lottery were sold and there are 5 prizes on these tickets . If Saket has purchased one lottery ticket, what is the probability of winning a prize ?

Options

A. `0.005`
B. `0.006`
C. `0.004`
D. `0.003`

Answer

To find the probability of Saket winning a prize with one lottery ticket, we can follow these steps:

### Step 1: Identify the total number of tickets
The total number of lottery tickets sold is given as 1000.

### Step 2: Identify the number of winning tickets
The number of winning tickets (prizes) is given as 5.

### Step 3: Calculate the probability
The probability of an event is calculated using the formula:

\[ \text{Probability} = \frac{\text{Number of favorable outcomes}}{\text{Total number of outcomes}} \]

In this case, the favorable outcome is winning a prize, which is represented by the number of winning tickets (5). The total number of outcomes is the total number of tickets sold (1000).

Thus, the probability \( P \) of Saket winning a prize is:

\[ P = \frac{5}{1000} \]

### Step 4: Simplify the probability
Now, we can simplify the fraction:

\[ P = \frac{5}{1000} = \frac{1}{200} \]

### Final Answer
The probability of Saket winning a prize is:

\[ \frac{1}{200} \]

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